Atkin-Lehner |
2+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
3392c |
Isogeny class |
Conductor |
3392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-1736704 = -1 · 215 · 53 |
Discriminant |
Eigenvalues |
2+ -2 -1 2 3 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,63] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] |
Generators of the group modulo torsion |
j |
-8/53 |
j-invariant |
L |
2.4808337116121 |
L(r)(E,1)/r! |
Ω |
2.1246563215315 |
Real period |
R |
0.29191000051056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3392b1 1696b1 30528q1 84800w1 |
Quadratic twists by: -4 8 -3 5 |