Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950f |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
69552 |
Modular degree for the optimal curve |
Δ |
-35741766200 = -1 · 23 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 3 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,464,8278] |
[a1,a2,a3,a4,a6] |
j |
76895/248 |
j-invariant |
L |
0.81938941445239 |
L(r)(E,1)/r! |
Ω |
0.81938941522836 |
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 |
75950da1 75950l1 |
Quadratic twists by: 5 -7 |