Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63175w |
Isogeny class |
Conductor |
63175 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1080000 |
Modular degree for the optimal curve |
Δ |
-5868477467723828125 = -1 · 58 · 75 · 197 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 6 3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-222805,123437322] |
[a1,a2,a3,a4,a6] |
j |
-66560265/319333 |
j-invariant |
L |
2.0804482800849 |
L(r)(E,1)/r! |
Ω |
0.20804482804744 |
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 |
63175e1 3325j1 |
Quadratic twists by: 5 -19 |