Atkin-Lehner |
2- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88102i |
Isogeny class |
Conductor |
88102 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
20730224396 = 22 · 78 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 0 -4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101186,12346627] |
[a1,a2,a3,a4,a6] |
j |
973861113148561/176204 |
j-invariant |
L |
3.8228285282628 |
L(r)(E,1)/r! |
Ω |
0.95570713187512 |
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 |
12586f1 |
Quadratic twists by: -7 |