Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
53404f |
Isogeny class |
Conductor |
53404 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
288288 |
Modular degree for the optimal curve |
Δ |
-1303289710018816 = -1 · 28 · 138 · 792 |
Discriminant |
Eigenvalues |
2- 2 -3 2 -6 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-732,1737176] |
[a1,a2,a3,a4,a6] |
Generators |
[-2526:26702:27] |
Generators of the group modulo torsion |
j |
-208/6241 |
j-invariant |
L |
6.8370884090551 |
L(r)(E,1)/r! |
Ω |
0.38566732523041 |
Real period |
R |
0.98488572948406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53404e1 |
Quadratic twists by: 13 |