Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472ch |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13160448 |
Modular degree for the optimal curve |
Δ |
9.4703742343043E+20 |
Discriminant |
Eigenvalues |
2- 3 -2 7+ 2 6 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6347596,-5974758256] |
[a1,a2,a3,a4,a6] |
j |
53520777/1792 |
j-invariant |
L |
4.7655080523764 |
L(r)(E,1)/r! |
Ω |
0.095310074789017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472bj1 32368m1 129472dv1 |
Quadratic twists by: -4 8 17 |