Atkin-Lehner |
2+ 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
52520c |
Isogeny class |
Conductor |
52520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
169744640 = 28 · 5 · 13 · 1012 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 6 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156,-364] |
[a1,a2,a3,a4,a6] |
j |
1650587344/663065 |
j-invariant |
L |
5.5920130819921 |
L(r)(E,1)/r! |
Ω |
1.3980032705328 |
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 |
105040c1 |
Quadratic twists by: -4 |