Atkin-Lehner |
2+ 3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
56280k |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
-3446362080000 = -1 · 28 · 38 · 54 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3585,120483] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-315:1] [-57:378:1] |
Generators of the group modulo torsion |
j |
-19910050579456/13462351875 |
j-invariant |
L |
11.476186301106 |
L(r)(E,1)/r! |
Ω |
0.73078812708555 |
Real period |
R |
0.061343159634348 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112560j1 |
Quadratic twists by: -4 |