Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608bo |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
839680 |
Modular degree for the optimal curve |
Δ |
121722652331205696 = 26 · 316 · 174 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-217029,35109340] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5980:1] |
Generators of the group modulo torsion |
j |
24230898466406848/2608938878841 |
j-invariant |
L |
7.455711571211 |
L(r)(E,1)/r! |
Ω |
0.32082455236629 |
Real period |
R |
5.8098043921602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965249 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112608n1 37536g1 |
Quadratic twists by: -4 -3 |