Atkin-Lehner |
5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7595b |
Isogeny class |
Conductor |
7595 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-3029673150546875 = -1 · 57 · 79 · 312 |
Discriminant |
Eigenvalues |
-2 1 5+ 7- -1 -3 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1631226,-802446704] |
[a1,a2,a3,a4,a6] |
j |
-4080168919667961856/25751796875 |
j-invariant |
L |
0.26717808329106 |
L(r)(E,1)/r! |
Ω |
0.066794520822765 |
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 |
121520bv1 68355ba1 37975d1 1085h1 |
Quadratic twists by: -4 -3 5 -7 |