Atkin-Lehner |
2+ 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
128160b |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4694016 |
Modular degree for the optimal curve |
Δ |
-1.094866875E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,865512,1561524912] |
[a1,a2,a3,a4,a6] |
j |
889388997253632/13580322265625 |
j-invariant |
L |
3.6832567650903 |
L(r)(E,1)/r! |
Ω |
0.11510183297915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128160c1 128160y1 |
Quadratic twists by: -4 -3 |