Atkin-Lehner |
2+ 5- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
35960d |
Isogeny class |
Conductor |
35960 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
24160 |
Modular degree for the optimal curve |
Δ |
-5753600000 = -1 · 211 · 55 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 2 -6 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3480,-80272] |
[a1,a2,a3,a4,a6] |
j |
-2276440392242/2809375 |
j-invariant |
L |
1.5538254132578 |
L(r)(E,1)/r! |
Ω |
0.31076508265456 |
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 |
71920f1 |
Quadratic twists by: -4 |