Atkin-Lehner |
2+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696j |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
4033584575488 = 210 · 135 · 1032 |
Discriminant |
Eigenvalues |
2+ 0 0 0 2 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-494920,-134014104] |
[a1,a2,a3,a4,a6] |
j |
13092686478376704000/3939047437 |
j-invariant |
L |
2.87995571394 |
L(r)(E,1)/r! |
Ω |
0.17999722573606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85696bf1 10712d1 |
Quadratic twists by: -4 8 |