Atkin-Lehner |
2- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
95680bz |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1605244026880 = -1 · 230 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 4 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,628,-60656] |
[a1,a2,a3,a4,a6] |
Generators |
[20542620389296390:-531028383322324992:30779063611219] |
Generators of the group modulo torsion |
j |
104487111/6123520 |
j-invariant |
L |
9.3098140161832 |
L(r)(E,1)/r! |
Ω |
0.40328316242571 |
Real period |
R |
23.085055041836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95680v1 23920h1 |
Quadratic twists by: -4 8 |