Atkin-Lehner |
2- 3+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
6942j |
Isogeny class |
Conductor |
6942 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-13884 = -1 · 22 · 3 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 3 5 1 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6,3] |
[a1,a2,a3,a4,a6] |
j |
23639903/13884 |
j-invariant |
L |
4.8137535275116 |
L(r)(E,1)/r! |
Ω |
2.4068767637558 |
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 |
55536bf1 20826n1 90246f1 |
Quadratic twists by: -4 -3 13 |