Atkin-Lehner |
2+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192h |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
280201674752 = 214 · 173 · 592 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6236,-187824] |
[a1,a2,a3,a4,a6] |
j |
1636899787728/17102153 |
j-invariant |
L |
1.0751698813002 |
L(r)(E,1)/r! |
Ω |
0.53758494072699 |
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 |
64192bk1 8024a1 |
Quadratic twists by: -4 8 |