Atkin-Lehner |
2+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80600c |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
59719680 |
Modular degree for the optimal curve |
Δ |
-1.0795894039778E+27 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 2 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138265300,1700189214500] |
[a1,a2,a3,a4,a6] |
j |
-73080804850407726160896/269897350994451171875 |
j-invariant |
L |
6.8650172277436 |
L(r)(E,1)/r! |
Ω |
0.04290635763859 |
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 |
16120h1 |
Quadratic twists by: 5 |