Atkin-Lehner |
2- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
5312j |
Isogeny class |
Conductor |
5312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-339968 = -1 · 212 · 83 |
Discriminant |
Eigenvalues |
2- -1 -2 -3 -1 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169,905] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:40:1] [7:4:1] |
Generators of the group modulo torsion |
j |
-131096512/83 |
j-invariant |
L |
3.7225023346973 |
L(r)(E,1)/r! |
Ω |
3.0063193777625 |
Real period |
R |
0.6191129196441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5312n1 2656d1 47808bw1 |
Quadratic twists by: -4 8 -3 |