Atkin-Lehner |
3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525be |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
194224675025390625 = 36 · 59 · 7 · 117 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-160388,-12780844] |
[a1,a2,a3,a4,a6] |
j |
131872229/56133 |
j-invariant |
L |
0.49574057969314 |
L(r)(E,1)/r! |
Ω |
0.24787029084584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63525cd1 5775k1 |
Quadratic twists by: 5 -11 |