Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82418v |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-45909463376 = -1 · 24 · 76 · 293 |
Discriminant |
Eigenvalues |
2- -1 1 7- -5 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2990,62523] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-45:1] [-274:2975:8] |
Generators of the group modulo torsion |
j |
-1030301/16 |
j-invariant |
L |
13.651933880102 |
L(r)(E,1)/r! |
Ω |
1.1379031518728 |
Real period |
R |
0.74984049926621 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1682i1 82418e1 |
Quadratic twists by: -7 29 |