Atkin-Lehner |
2+ 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
53754c |
Isogeny class |
Conductor |
53754 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
144704 |
Modular degree for the optimal curve |
Δ |
-287333621376 = -1 · 27 · 3 · 176 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 -5 -7 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4774,-131564] |
[a1,a2,a3,a4,a6] |
j |
-498677257/11904 |
j-invariant |
L |
0.28676376474073 |
L(r)(E,1)/r! |
Ω |
0.28676376616309 |
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 |
186c1 |
Quadratic twists by: 17 |