Atkin-Lehner |
2+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
68770a |
Isogeny class |
Conductor |
68770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11446272 |
Modular degree for the optimal curve |
Δ |
1.2966731439257E+23 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 6 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20634979,-31648778594] |
[a1,a2,a3,a4,a6] |
j |
539492301126143/71991296000 |
j-invariant |
L |
0.28584034405675 |
L(r)(E,1)/r! |
Ω |
0.071460082608793 |
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 |
68770f1 |
Quadratic twists by: -23 |