Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608be |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
10926721732608 = 212 · 311 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9795,-337534] |
[a1,a2,a3,a4,a6] |
j |
34805634625/3659337 |
j-invariant |
L |
3.8652812158359 |
L(r)(E,1)/r! |
Ω |
0.4831601523306 |
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 |
3663d1 19536w1 |
Quadratic twists by: -4 -3 |