Atkin-Lehner |
2+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
5312b |
Isogeny class |
Conductor |
5312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-339968 = -1 · 212 · 83 |
Discriminant |
Eigenvalues |
2+ 1 0 3 1 -6 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1:1] |
Generators of the group modulo torsion |
j |
8000/83 |
j-invariant |
L |
4.6805374593029 |
L(r)(E,1)/r! |
Ω |
1.4979892676438 |
Real period |
R |
1.5622733621666 |
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 |
5312f1 2656e1 47808u1 |
Quadratic twists by: -4 8 -3 |