Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120by |
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 |
0.5882890960567 |
L(r)(E,1)/r! |
Ω |
0.29414454802876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120c1 7280v1 |
Quadratic twists by: -4 8 |