Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280p |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9020160 |
Modular degree for the optimal curve |
Δ |
5.5142938483124E+23 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 0 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153008456,-727660463756] |
[a1,a2,a3,a4,a6] |
j |
229895296609/320000 |
j-invariant |
L |
1.5454661590138 |
L(r)(E,1)/r! |
Ω |
0.042929615518762 |
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 |
8410b1 67280u1 |
Quadratic twists by: -4 29 |