Atkin-Lehner |
2- 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52624h |
Isogeny class |
Conductor |
52624 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-145710383104 = -1 · 218 · 11 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 0 3 3 11- 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,589,17522] |
[a1,a2,a3,a4,a6] |
j |
5517084663/35573824 |
j-invariant |
L |
4.4870941708682 |
L(r)(E,1)/r! |
Ω |
0.74784902824995 |
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 |
6578b1 |
Quadratic twists by: -4 |