Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7688k |
Isogeny class |
Conductor |
7688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
246016 = 28 · 312 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 1 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196,1124] |
[a1,a2,a3,a4,a6] |
Generators |
[8:2:1] |
Generators of the group modulo torsion |
j |
3402064 |
j-invariant |
L |
2.7720909585037 |
L(r)(E,1)/r! |
Ω |
3.0529329310142 |
Real period |
R |
0.22700228117875 |
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 |
15376h1 61504m1 69192i1 7688d1 |
Quadratic twists by: -4 8 -3 -31 |