Atkin-Lehner |
2- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115640n |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1605381782480 = 24 · 5 · 78 · 592 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3038,-20923] |
[a1,a2,a3,a4,a6] |
Generators |
[434:8967:1] |
Generators of the group modulo torsion |
j |
1647323136/852845 |
j-invariant |
L |
5.2277766929314 |
L(r)(E,1)/r! |
Ω |
0.68036544201365 |
Real period |
R |
3.8418887696176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999830045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16520c1 |
Quadratic twists by: -7 |