Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416dt |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
29346250752 = 214 · 39 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3132,-66960] |
[a1,a2,a3,a4,a6] |
j |
10536048/91 |
j-invariant |
L |
1.2770279810843 |
L(r)(E,1)/r! |
Ω |
0.63851399038731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416z1 13104g1 52416ds1 |
Quadratic twists by: -4 8 -3 |