Atkin-Lehner |
2- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5780f |
Isogeny class |
Conductor |
5780 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25704 |
Modular degree for the optimal curve |
Δ |
8928969524480 = 28 · 5 · 178 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -5 6 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52405,-4632777] |
[a1,a2,a3,a4,a6] |
j |
8912896/5 |
j-invariant |
L |
0.94665462408557 |
L(r)(E,1)/r! |
Ω |
0.31555154136186 |
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 |
23120bo1 92480bn1 52020z1 28900g1 |
Quadratic twists by: -4 8 -3 5 |