Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426be |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-345446664552 = -1 · 23 · 32 · 115 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 11- 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16388,-809352] |
[a1,a2,a3,a4,a6] |
Generators |
[514:10996:1] |
Generators of the group modulo torsion |
j |
-16338724609375/11595672 |
j-invariant |
L |
9.7576427740932 |
L(r)(E,1)/r! |
Ω |
0.21096939003127 |
Real period |
R |
0.77085770376419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63426t1 |
Quadratic twists by: -31 |