Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600ck |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4112640 |
Modular degree for the optimal curve |
Δ |
6868800000000 = 212 · 34 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -3 -2 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78901333,269784483037] |
[a1,a2,a3,a4,a6] |
Generators |
[1759156:225:343] |
Generators of the group modulo torsion |
j |
33951327224426659840/4293 |
j-invariant |
L |
4.6711182469501 |
L(r)(E,1)/r! |
Ω |
0.29512731107413 |
Real period |
R |
2.6379114322093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3975l1 63600df1 |
Quadratic twists by: -4 5 |