Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2448g |
Isogeny class |
Conductor |
2448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
114213888 = 210 · 38 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435,-3454] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:2:1] |
Generators of the group modulo torsion |
j |
12194500/153 |
j-invariant |
L |
3.08189032939 |
L(r)(E,1)/r! |
Ω |
1.0461809426519 |
Real period |
R |
1.4729241394792 |
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 |
1224h1 9792bv1 816a1 61200bj1 |
Quadratic twists by: -4 8 -3 5 |