Atkin-Lehner |
2- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6944g |
Isogeny class |
Conductor |
6944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-4763584 = -1 · 26 · 74 · 31 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22,-120] |
[a1,a2,a3,a4,a6] |
j |
-19248832/74431 |
j-invariant |
L |
1.0035839029334 |
L(r)(E,1)/r! |
Ω |
1.0035839029334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6944h1 13888n1 62496j1 48608k1 |
Quadratic twists by: -4 8 -3 -7 |