Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960bs |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
3.9628542515625E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9499647,-10855002814] |
[a1,a2,a3,a4,a6] |
j |
508017439289666674384/21234429931640625 |
j-invariant |
L |
2.4140703119552 |
L(r)(E,1)/r! |
Ω |
0.086216796827803 |
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 |
115920bv1 19320b1 |
Quadratic twists by: -4 -3 |