Atkin-Lehner |
3+ 7+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
23331a |
Isogeny class |
Conductor |
23331 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23936 |
Modular degree for the optimal curve |
Δ |
168265668417 = 3 · 72 · 11 · 1014 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3434,-76330] |
[a1,a2,a3,a4,a6] |
j |
4478499075397537/168265668417 |
j-invariant |
L |
0.31255180933517 |
L(r)(E,1)/r! |
Ω |
0.62510361867032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69993g1 |
Quadratic twists by: -3 |