Atkin-Lehner |
2+ 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
3286b |
Isogeny class |
Conductor |
3286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-834486272 = -1 · 214 · 312 · 53 |
Discriminant |
Eigenvalues |
2+ 3 4 2 -2 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,230,308] |
[a1,a2,a3,a4,a6] |
j |
1342284742791/834486272 |
j-invariant |
L |
3.9240985756671 |
L(r)(E,1)/r! |
Ω |
0.98102464391677 |
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 |
26288l1 105152e1 29574j1 82150i1 |
Quadratic twists by: -4 8 -3 5 |