Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712ch |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
9.2438722268954E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18086124,-25738740560] |
[a1,a2,a3,a4,a6] |
j |
3423676911662954233/483711578981136 |
j-invariant |
L |
3.5470555472529 |
L(r)(E,1)/r! |
Ω |
0.073897000911031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107712dv2 3366o2 35904bb2 |
Quadratic twists by: -4 8 -3 |