Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120c |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
8549669273600000 = 232 · 55 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73281,6230081] |
[a1,a2,a3,a4,a6] |
j |
166021325905681/32614400000 |
j-invariant |
L |
3.133296772298 |
L(r)(E,1)/r! |
Ω |
0.39166209653758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120by1 910k1 |
Quadratic twists by: -4 8 |