Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664cf |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-10409140224 = -1 · 213 · 37 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8643,309314] |
[a1,a2,a3,a4,a6] |
Generators |
[55:18:1] |
Generators of the group modulo torsion |
j |
-23912763841/3486 |
j-invariant |
L |
6.5145471922812 |
L(r)(E,1)/r! |
Ω |
1.2404798247736 |
Real period |
R |
0.65645436755622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10458e1 27888v1 |
Quadratic twists by: -4 -3 |