Atkin-Lehner |
5+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52325c |
Isogeny class |
Conductor |
52325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-1895702046875 = -1 · 56 · 74 · 133 · 23 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 3 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1092183,439694643] |
[a1,a2,a3,a4,a6] |
j |
-9221261135586623488/121324931 |
j-invariant |
L |
1.1777521868326 |
L(r)(E,1)/r! |
Ω |
0.58887609317786 |
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 |
2093g1 |
Quadratic twists by: 5 |