Atkin-Lehner |
2- 5+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550bh |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
-187371800 = -1 · 23 · 52 · 7 · 11 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11+ 4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,57,661] |
[a1,a2,a3,a4,a6] |
j |
818336615/7494872 |
j-invariant |
L |
3.9483500838333 |
L(r)(E,1)/r! |
Ω |
1.3161167085957 |
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 |
88550bb1 |
Quadratic twists by: 5 |