Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824bg |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
9917014228992 = 214 · 36 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13491,583794] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:918:1] [-71:1088:1] |
Generators of the group modulo torsion |
j |
90942871473/3321188 |
j-invariant |
L |
6.8999929596682 |
L(r)(E,1)/r! |
Ω |
0.72002965855238 |
Real period |
R |
0.79857740091118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3978e1 127296dp1 3536f1 |
Quadratic twists by: -4 8 -3 |