Atkin-Lehner |
3+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94809d |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
496742400 |
Modular degree for the optimal curve |
Δ |
2.1679198590293E+34 |
Discriminant |
Eigenvalues |
1 3+ 0 0 11+ 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70801139360,1547947335162051] |
[a1,a2,a3,a4,a6] |
Generators |
[1258874458729581596806230949571318995739143209821829883034397459768633947796804250276378388762135159670306591943965999465751096483798213900173560598396718117317762140873790771963206280780228979749922301651926719680747475257847272003047779197870579683060411504955167710:-233620801173004280230214913306245221215855665259134195948326266984711781971593759778141674157041147875155425239961624609569943721668890740494721800128880904636730469607657693609245250326059128189561326219023160928298544153919728953280261987549702546190577907309810253707:4612876881153250080603566147481865263528684588904845505818356221976199541551801666479155530040264851176247320415852945190069013115814472989638748833076814882394453873549183540275883955017969947406282422146966835462452632527316069077690237653128256848883824243375] |
Generators of the group modulo torsion |
j |
8131755985964161964448308988625/4491414222168968491132426977 |
j-invariant |
L |
4.3212321488713 |
L(r)(E,1)/r! |
Ω |
0.010490295652694 |
Real period |
R |
411.92663123482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7293b1 |
Quadratic twists by: 13 |