Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63175n |
Isogeny class |
Conductor |
63175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
488836107265625 = 57 · 7 · 197 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-128042,17634991] |
[a1,a2,a3,a4,a6] |
Generators |
[-8268:366217:64] |
Generators of the group modulo torsion |
j |
315821241/665 |
j-invariant |
L |
5.3723674814132 |
L(r)(E,1)/r! |
Ω |
0.52503677001012 |
Real period |
R |
5.1161821309247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12635c1 3325g1 |
Quadratic twists by: 5 -19 |