Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960v |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1689600 |
Modular degree for the optimal curve |
Δ |
1.4731670879947E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1692507,-614214106] |
[a1,a2,a3,a4,a6] |
j |
718269868008155236/197344270832625 |
j-invariant |
L |
4.0529733112958 |
L(r)(E,1)/r! |
Ω |
0.13509911035545 |
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 |
115920bn1 19320p1 |
Quadratic twists by: -4 -3 |