Atkin-Lehner |
2+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850a |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
1988000000 = 28 · 56 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-392,-1984] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:23:1] |
Generators of the group modulo torsion |
j |
426957777/127232 |
j-invariant |
L |
3.1398872578471 |
L(r)(E,1)/r! |
Ω |
1.09748211823 |
Real period |
R |
2.8609917243217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
994f1 |
Quadratic twists by: 5 |