Atkin-Lehner |
2+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80360a |
Isogeny class |
Conductor |
80360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
8.108486729E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1534043,589173158] |
[a1,a2,a3,a4,a6] |
j |
3313966509875844/673056640625 |
j-invariant |
L |
1.4586242835893 |
L(r)(E,1)/r! |
Ω |
0.18232803379054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1640d1 |
Quadratic twists by: -7 |