Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608bf |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
3.3135650502763E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8723955,4654156466] |
[a1,a2,a3,a4,a6] |
j |
24591016773082896625/11097062309363712 |
j-invariant |
L |
0.83744394666403 |
L(r)(E,1)/r! |
Ω |
0.10468049321256 |
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 |
7326d1 19536x1 |
Quadratic twists by: -4 -3 |