Atkin-Lehner |
11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
9559a |
Isogeny class |
Conductor |
9559 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
105687288329359 = 118 · 793 |
Discriminant |
Eigenvalues |
-1 -1 1 -1 11- -1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-62015,-5949426] |
[a1,a2,a3,a4,a6] |
j |
14888751553801/59657719 |
j-invariant |
L |
0.60521544572246 |
L(r)(E,1)/r! |
Ω |
0.30260772286123 |
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 |
86031c1 869d1 |
Quadratic twists by: -3 -11 |