Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
83496y |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-359249221632 = -1 · 211 · 3 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -2 -4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,28832] |
[a1,a2,a3,a4,a6] |
Generators |
[-18629:370440:2197] |
Generators of the group modulo torsion |
j |
-2/1491 |
j-invariant |
L |
10.774369292989 |
L(r)(E,1)/r! |
Ω |
0.76097813529281 |
Real period |
R |
7.0792896617214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11928h1 |
Quadratic twists by: -7 |