Atkin-Lehner |
2- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
6832c |
Isogeny class |
Conductor |
6832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
13169098227712 = 218 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ -1 -4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6384,-91948] |
[a1,a2,a3,a4,a6] |
j |
7026036894577/3215111872 |
j-invariant |
L |
1.1156445467764 |
L(r)(E,1)/r! |
Ω |
0.55782227338821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
854d1 27328v1 61488v1 47824t1 |
Quadratic twists by: -4 8 -3 -7 |