Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190r |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
4133376 |
Modular degree for the optimal curve |
Δ |
-1.0265820890832E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11- 2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2512739,162186483] |
[a1,a2,a3,a4,a6] |
j |
42353322239/24780800 |
j-invariant |
L |
4.9062934467569 |
L(r)(E,1)/r! |
Ω |
0.094351797090308 |
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 |
58190ba1 |
Quadratic twists by: -23 |