Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7688p |
Isogeny class |
Conductor |
7688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-476656 = -1 · 24 · 313 |
Discriminant |
Eigenvalues |
2- -2 -3 1 4 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-692,6781] |
[a1,a2,a3,a4,a6] |
Generators |
[10:31:1] |
Generators of the group modulo torsion |
j |
-76995328 |
j-invariant |
L |
2.3531462397494 |
L(r)(E,1)/r! |
Ω |
2.6899165253263 |
Real period |
R |
0.21870067505756 |
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 |
15376l1 61504v1 69192r1 7688n1 |
Quadratic twists by: -4 8 -3 -31 |