Atkin-Lehner |
2- 3- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
6162q |
Isogeny class |
Conductor |
6162 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
10349793792 = 29 · 39 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-663,4329] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:93:1] |
Generators of the group modulo torsion |
j |
32233334640625/10349793792 |
j-invariant |
L |
6.7381669230818 |
L(r)(E,1)/r! |
Ω |
1.1872157150494 |
Real period |
R |
0.6306227286122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
49296r1 18486n1 80106n1 |
Quadratic twists by: -4 -3 13 |