Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320br |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.8895838660092E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-363537416,-2665912879116] |
[a1,a2,a3,a4,a6] |
Generators |
[86822433561368663594050392989044:-8792114115033617659409121737718006:3190504560745374793210418857] |
Generators of the group modulo torsion |
j |
1297212465095901089487274249/1193746061037404160000 |
j-invariant |
L |
6.6293334887627 |
L(r)(E,1)/r! |
Ω |
0.034576917113859 |
Real period |
R |
47.931785437471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290b2 102960el2 |
Quadratic twists by: -4 -3 |