Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960bo |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
-3.9161343018833E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,771117,-150738082] |
[a1,a2,a3,a4,a6] |
j |
67929287623001276/52460218164375 |
j-invariant |
L |
1.3684860585449 |
L(r)(E,1)/r! |
Ω |
0.11404050524043 |
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 |
115920v1 19320d1 |
Quadratic twists by: -4 -3 |