Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850br |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
585487601562500 = 22 · 59 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35755,2336247] |
[a1,a2,a3,a4,a6] |
Generators |
[39:980:1] |
Generators of the group modulo torsion |
j |
2749884201/318500 |
j-invariant |
L |
7.7221381686805 |
L(r)(E,1)/r! |
Ω |
0.49940367163571 |
Real period |
R |
1.932839756511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370e1 4550r1 |
Quadratic twists by: 5 -7 |