Atkin-Lehner |
2+ 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
40896i |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-45793050624 = -1 · 215 · 39 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 1 -2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17388,-882576] |
[a1,a2,a3,a4,a6] |
j |
-901428696/71 |
j-invariant |
L |
1.6630108619054 |
L(r)(E,1)/r! |
Ω |
0.20787635774592 |
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 |
40896b1 20448g1 40896a1 |
Quadratic twists by: -4 8 -3 |