Atkin-Lehner |
2- 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
75650bd |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
14598144 |
Modular degree for the optimal curve |
Δ |
3.183375640625E+24 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-97779188,362073225781] |
[a1,a2,a3,a4,a6] |
j |
6616723177256303360716921/203736041000000000000 |
j-invariant |
L |
5.71313837901 |
L(r)(E,1)/r! |
Ω |
0.079349144984545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15130g1 |
Quadratic twists by: 5 |