Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
53820b |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
404726373090000 = 24 · 39 · 54 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112428,-14477427] |
[a1,a2,a3,a4,a6] |
j |
499040614268928/1285139375 |
j-invariant |
L |
2.0861144634887 |
L(r)(E,1)/r! |
Ω |
0.26076430803251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53820f1 |
Quadratic twists by: -3 |