Atkin-Lehner |
2- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696h |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6842880 |
Modular degree for the optimal curve |
Δ |
6.6990964559441E+22 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 2 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188872360,999066405488] |
[a1,a2,a3,a4,a6] |
j |
181915199617140665149942441/16355215956894889984 |
j-invariant |
L |
0.84127805299491 |
L(r)(E,1)/r! |
Ω |
0.10515975714128 |
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 |
7462e1 |
Quadratic twists by: -4 |