Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798k |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1096704 |
Modular degree for the optimal curve |
Δ |
-6539218339722367104 = -1 · 27 · 323 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 2 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,228879,115531677] |
[a1,a2,a3,a4,a6] |
j |
63685351357823/314068876416 |
j-invariant |
L |
2.0482093168597 |
L(r)(E,1)/r! |
Ω |
0.17068410980875 |
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 |
19266v1 57798bn1 |
Quadratic twists by: -3 13 |