Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736dj |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
5.0180621841258E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16029152,-22230979212] |
[a1,a2,a3,a4,a6] |
Generators |
[-2036:44370:1] |
Generators of the group modulo torsion |
j |
62768149033310713/6915442583808 |
j-invariant |
L |
11.57014352622 |
L(r)(E,1)/r! |
Ω |
0.075991853607815 |
Real period |
R |
3.8063762630076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342v1 8976x1 |
Quadratic twists by: -4 -11 |