Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464bk |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
11806020864 = 28 · 310 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11- 3 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5592,-160868] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:9:1] |
Generators of the group modulo torsion |
j |
103623368704/63261 |
j-invariant |
L |
6.9506678920038 |
L(r)(E,1)/r! |
Ω |
0.5521075398061 |
Real period |
R |
1.5736671182115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28116c1 37488x1 |
Quadratic twists by: -4 -3 |