Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37620g |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
7603200 |
Modular degree for the optimal curve |
Δ |
1.2252284027318E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-553358028,-5010224550527] |
[a1,a2,a3,a4,a6] |
Generators |
[-20646946360:-1885911291:1520875] |
Generators of the group modulo torsion |
j |
1606552218142211899487174656/1050435873398278125 |
j-invariant |
L |
5.3332362558809 |
L(r)(E,1)/r! |
Ω |
0.031127770653827 |
Real period |
R |
9.5185391334172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540k1 |
Quadratic twists by: -3 |