Atkin-Lehner |
2- 3- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
36972f |
Isogeny class |
Conductor |
36972 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
12954384085968 = 24 · 310 · 133 · 792 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8724,261493] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2106:1] |
Generators of the group modulo torsion |
j |
6295397711872/1110629637 |
j-invariant |
L |
5.5422306036156 |
L(r)(E,1)/r! |
Ω |
0.67584612766381 |
Real period |
R |
1.3667387631497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12324e1 |
Quadratic twists by: -3 |