Atkin-Lehner |
3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52635p |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
13708577337243525 = 36 · 52 · 1110 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11- -5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-458751,-119615479] |
[a1,a2,a3,a4,a6] |
j |
411650719744/528525 |
j-invariant |
L |
2.2015063828319 |
L(r)(E,1)/r! |
Ω |
0.18345886522937 |
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 |
52635n1 |
Quadratic twists by: -11 |