Atkin-Lehner |
2- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96746i |
Isogeny class |
Conductor |
96746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-37439154064 = -1 · 24 · 132 · 614 |
Discriminant |
Eigenvalues |
2- 2 3 4 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2108024,-1178922167] |
[a1,a2,a3,a4,a6] |
j |
-74822297247330097/2704 |
j-invariant |
L |
12.529410980598 |
L(r)(E,1)/r! |
Ω |
0.062647056484279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96746c1 |
Quadratic twists by: 61 |