Atkin-Lehner |
2- 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008bi |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71850240 |
Modular degree for the optimal curve |
Δ |
-8.8379998868939E+26 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6021819088,179869798476736] |
[a1,a2,a3,a4,a6] |
j |
-5895856113332931416918127084625/215771481613620039647232 |
j-invariant |
L |
0.84071221372447 |
L(r)(E,1)/r! |
Ω |
0.046706234306384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626p1 |
Quadratic twists by: -4 |