Atkin-Lehner |
2- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118096bh |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-7082162323456 = -1 · 216 · 116 · 61 |
Discriminant |
Eigenvalues |
2- 2 1 -5 11- 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4800,2048] |
[a1,a2,a3,a4,a6] |
j |
1685159/976 |
j-invariant |
L |
0.89431214164875 |
L(r)(E,1)/r! |
Ω |
0.4471562899631 |
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 |
14762i1 976a1 |
Quadratic twists by: -4 -11 |