Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190bg |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-9.818100181762E+18 |
Discriminant |
Eigenvalues |
2- 0 5- -3 11- -4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,80573,-150517949] |
[a1,a2,a3,a4,a6] |
Generators |
[811:-21566:1] |
Generators of the group modulo torsion |
j |
390778221231/66322432000 |
j-invariant |
L |
8.5613934301464 |
L(r)(E,1)/r! |
Ω |
0.10834827223471 |
Real period |
R |
0.62712183133059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530e1 |
Quadratic twists by: -23 |