Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800s |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
8857805000000 = 26 · 57 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11- -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19158,-1004188] |
[a1,a2,a3,a4,a6] |
j |
438976/5 |
j-invariant |
L |
1.6243104566972 |
L(r)(E,1)/r! |
Ω |
0.40607765025221 |
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 |
96800ca1 19360u1 800g1 |
Quadratic twists by: -4 5 -11 |