Atkin-Lehner |
2- 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520l |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
6566400 |
Modular degree for the optimal curve |
Δ |
1.7555541698785E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33982063,-73533840942] |
[a1,a2,a3,a4,a6] |
j |
16952469391568675487188304/685763347608802663585 |
j-invariant |
L |
1.8805744988196 |
L(r)(E,1)/r! |
Ω |
0.062685816573586 |
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 |
117040b1 |
Quadratic twists by: -4 |