Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350cv |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-133593691816406250 = -1 · 2 · 33 · 510 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21680,-17622803] |
[a1,a2,a3,a4,a6] |
Generators |
[136328513717128563160:5032115393618273092379:95714917246125568] |
Generators of the group modulo torsion |
j |
-4273846875/506666446 |
j-invariant |
L |
9.5818685291471 |
L(r)(E,1)/r! |
Ω |
0.14565151492383 |
Real period |
R |
32.893130339764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64350o1 64350p1 |
Quadratic twists by: -3 5 |