Atkin-Lehner |
2- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
6832g |
Isogeny class |
Conductor |
6832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
1748992 = 212 · 7 · 61 |
Discriminant |
Eigenvalues |
2- -1 -4 7+ 3 -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,-464] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2:1] |
Generators of the group modulo torsion |
j |
47045881/427 |
j-invariant |
L |
2.1228892796682 |
L(r)(E,1)/r! |
Ω |
1.4422513174548 |
Real period |
R |
0.73596371657835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
427b1 27328q1 61488bi1 47824k1 |
Quadratic twists by: -4 8 -3 -7 |