Atkin-Lehner |
2+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
3392i |
Isogeny class |
Conductor |
3392 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-111149056 = -1 · 221 · 53 |
Discriminant |
Eigenvalues |
2+ 2 -3 2 3 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,449] |
[a1,a2,a3,a4,a6] |
j |
103823/424 |
j-invariant |
L |
2.6769528728433 |
L(r)(E,1)/r! |
Ω |
1.3384764364216 |
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 |
3392s1 106a1 30528m1 84800j1 |
Quadratic twists by: -4 8 -3 5 |