Atkin-Lehner |
2+ 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85910b |
Isogeny class |
Conductor |
85910 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
15344280291518200 = 23 · 52 · 118 · 713 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11- -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-165289,-25182764] |
[a1,a2,a3,a4,a6] |
Generators |
[-6594:24761:27] |
Generators of the group modulo torsion |
j |
281900392615009/8661446200 |
j-invariant |
L |
4.2930422542862 |
L(r)(E,1)/r! |
Ω |
0.2372223214571 |
Real period |
R |
1.5080938380472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7810c1 |
Quadratic twists by: -11 |