Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bz |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
2916179107345152000 = 211 · 323 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 3 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2108667,-1175715574] |
[a1,a2,a3,a4,a6] |
j |
5739907130357378/16142520375 |
j-invariant |
L |
3.0073378625182 |
L(r)(E,1)/r! |
Ω |
0.12530574066744 |
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 |
43560ch1 29040d1 87120by1 |
Quadratic twists by: -4 -3 -11 |