Atkin-Lehner |
2+ 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78792d |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
24214987776 = 210 · 3 · 76 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3152,-66660] |
[a1,a2,a3,a4,a6] |
j |
28756228/201 |
j-invariant |
L |
0.63741822833114 |
L(r)(E,1)/r! |
Ω |
0.6374182153038 |
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 |
1608b1 |
Quadratic twists by: -7 |