Atkin-Lehner |
2- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696g |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
68761478496256 = 223 · 7 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 0 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5375384,-4798710892] |
[a1,a2,a3,a4,a6] |
j |
4193651411483568183577/16787470336 |
j-invariant |
L |
3.1728325494732 |
L(r)(E,1)/r! |
Ω |
0.099151017301512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462f1 |
Quadratic twists by: -4 |