Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34632n |
Isogeny class |
Conductor |
34632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
72559927596259584 = 28 · 320 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-270111,-52456030] |
[a1,a2,a3,a4,a6] |
j |
11678391514890448/388802767041 |
j-invariant |
L |
0.83938342149177 |
L(r)(E,1)/r! |
Ω |
0.20984585537321 |
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 |
69264n1 11544b1 |
Quadratic twists by: -4 -3 |