Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
16080c |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
289440000 = 28 · 33 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-636,6336] |
[a1,a2,a3,a4,a6] |
j |
111310918864/1130625 |
j-invariant |
L |
1.7392972717414 |
L(r)(E,1)/r! |
Ω |
1.7392972717414 |
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 |
8040e1 64320cs1 48240y1 80400z1 |
Quadratic twists by: -4 8 -3 5 |