Atkin-Lehner |
2- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
3550p |
Isogeny class |
Conductor |
3550 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
3000 |
Modular degree for the optimal curve |
Δ |
-887500000 = -1 · 25 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 2 5- 2 4 -1 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2138,-38969] |
[a1,a2,a3,a4,a6] |
j |
-2766938305/2272 |
j-invariant |
L |
5.2654615942162 |
L(r)(E,1)/r! |
Ω |
0.35103077294775 |
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 |
28400ba1 113600bs1 31950bg1 3550f1 |
Quadratic twists by: -4 8 -3 5 |