Atkin-Lehner |
2- 3- 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76212l |
Isogeny class |
Conductor |
76212 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
2105397349632 = 28 · 36 · 29 · 733 |
Discriminant |
Eigenvalues |
2- 3- 0 2 3 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3720,52468] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:365:1] |
Generators of the group modulo torsion |
j |
30505984000/11281493 |
j-invariant |
L |
6.8356914380389 |
L(r)(E,1)/r! |
Ω |
0.75457721385322 |
Real period |
R |
1.5098281339306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8468b1 |
Quadratic twists by: -3 |