Atkin-Lehner |
2- 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860a |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
2690650932480 = 28 · 33 · 5 · 73 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4248,-71612] |
[a1,a2,a3,a4,a6] |
j |
1226516815872/389272415 |
j-invariant |
L |
3.6369894431989 |
L(r)(E,1)/r! |
Ω |
0.60616490838454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76860b2 |
Quadratic twists by: -3 |