Atkin-Lehner |
2- 3+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57288n |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
-23979535305264 = -1 · 24 · 310 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6293,134260] |
[a1,a2,a3,a4,a6] |
j |
1722296466470912/1498720956579 |
j-invariant |
L |
1.752659837167 |
L(r)(E,1)/r! |
Ω |
0.43816495928616 |
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 |
114576q1 |
Quadratic twists by: -4 |