Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330cb |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
-3.8725925885499E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66176469,-207211646475] |
[a1,a2,a3,a4,a6] |
j |
-7626453723007966609/921488588800 |
j-invariant |
L |
1.9055616758305 |
L(r)(E,1)/r! |
Ω |
0.026466134350954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370k1 57330bc1 |
Quadratic twists by: -3 -7 |