Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800ct |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-471900000000 = -1 · 28 · 3 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1508,-40512] |
[a1,a2,a3,a4,a6] |
j |
-94875856/117975 |
j-invariant |
L |
2.9266564983859 |
L(r)(E,1)/r! |
Ω |
0.36583207823225 |
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 |
17160d1 |
Quadratic twists by: 5 |