Atkin-Lehner |
5- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
7885a |
Isogeny class |
Conductor |
7885 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
7448 |
Modular degree for the optimal curve |
Δ |
123203125 = 57 · 19 · 83 |
Discriminant |
Eigenvalues |
0 -3 5- 2 4 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1462,-21510] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:2:1] |
Generators of the group modulo torsion |
j |
345593710411776/123203125 |
j-invariant |
L |
2.635263899161 |
L(r)(E,1)/r! |
Ω |
0.77209724552386 |
Real period |
R |
0.48758919098757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126160k1 70965c1 39425a1 |
Quadratic twists by: -4 -3 5 |