Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6776f |
Isogeny class |
Conductor |
6776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1.3503376826253E+19 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,463148,-128760828] |
[a1,a2,a3,a4,a6] |
Generators |
[379362804:11942849314:658503] |
Generators of the group modulo torsion |
j |
24226243449392/29774625727 |
j-invariant |
L |
6.0552223187716 |
L(r)(E,1)/r! |
Ω |
0.11979937862858 |
Real period |
R |
12.63617221577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13552h1 54208s1 60984v1 47432z1 |
Quadratic twists by: -4 8 -3 -7 |