Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656t |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-1940832256 = -1 · 214 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 2 1 0 11- -5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11925,505229] |
[a1,a2,a3,a4,a6] |
j |
-11447623942144/118459 |
j-invariant |
L |
4.0107153600628 |
L(r)(E,1)/r! |
Ω |
1.3369051210932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62656c1 15664d1 |
Quadratic twists by: -4 8 |