Atkin-Lehner |
2- 3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97704l |
Isogeny class |
Conductor |
97704 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
317440 |
Modular degree for the optimal curve |
Δ |
748750495742208 = 28 · 311 · 234 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49359,4010258] |
[a1,a2,a3,a4,a6] |
j |
71261551866832/4012080417 |
j-invariant |
L |
1.9933270161382 |
L(r)(E,1)/r! |
Ω |
0.4983317574072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32568b1 |
Quadratic twists by: -3 |