Atkin-Lehner |
2+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7696a |
Isogeny class |
Conductor |
7696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
1600768 = 28 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 1 0 -3 5 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-393,-3133] |
[a1,a2,a3,a4,a6] |
j |
26288512000/6253 |
j-invariant |
L |
2.1441025889486 |
L(r)(E,1)/r! |
Ω |
1.0720512944743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3848b1 30784n1 69264j1 100048a1 |
Quadratic twists by: -4 8 -3 13 |