Atkin-Lehner |
3- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23751a |
Isogeny class |
Conductor |
23751 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-88759790847 = -1 · 37 · 72 · 134 · 29 |
Discriminant |
Eigenvalues |
-1 3- 4 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3533,-81196] |
[a1,a2,a3,a4,a6] |
j |
-6688239997321/121755543 |
j-invariant |
L |
1.2371838827221 |
L(r)(E,1)/r! |
Ω |
0.30929597068051 |
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 |
7917d1 |
Quadratic twists by: -3 |