Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128800c |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
4025000000 = 26 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1258,-16488] |
[a1,a2,a3,a4,a6] |
j |
220348864/4025 |
j-invariant |
L |
1.6049511668506 |
L(r)(E,1)/r! |
Ω |
0.80247629592206 |
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 |
128800bc1 25760l1 |
Quadratic twists by: -4 5 |