Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800r |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-7744000000 = -1 · 212 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11- 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,367,3137] |
[a1,a2,a3,a4,a6] |
j |
704 |
j-invariant |
L |
1.7821946868018 |
L(r)(E,1)/r! |
Ω |
0.89109738597415 |
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 |
96800w1 3872m1 96800bw1 |
Quadratic twists by: -4 5 -11 |