Atkin-Lehner |
2+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6448c |
Isogeny class |
Conductor |
6448 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1184 |
Modular degree for the optimal curve |
Δ |
-103168 = -1 · 28 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -4 2 -3 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92,-340] |
[a1,a2,a3,a4,a6] |
j |
-336393216/403 |
j-invariant |
L |
0.77071073584883 |
L(r)(E,1)/r! |
Ω |
0.77071073584883 |
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 |
3224b1 25792u1 58032n1 83824f1 |
Quadratic twists by: -4 8 -3 13 |