Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040bh |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
-54903750000 = -1 · 24 · 3 · 57 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16980,-857397] |
[a1,a2,a3,a4,a6] |
j |
-2311381447936/234375 |
j-invariant |
L |
4.391366240216 |
L(r)(E,1)/r! |
Ω |
0.20911267810557 |
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 |
14520i1 116160fe1 87120u1 29040bj1 |
Quadratic twists by: -4 8 -3 -11 |