Atkin-Lehner |
2- 89- |
Signs for the Atkin-Lehner involutions |
Class |
2848d |
Isogeny class |
Conductor |
2848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
5696 = 26 · 89 |
Discriminant |
Eigenvalues |
2- 0 2 2 -4 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29,-60] |
[a1,a2,a3,a4,a6] |
Generators |
[47:320:1] |
Generators of the group modulo torsion |
j |
42144192/89 |
j-invariant |
L |
3.6703076886504 |
L(r)(E,1)/r! |
Ω |
2.0575725502676 |
Real period |
R |
3.5676095000131 |
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 |
2848a1 5696c1 25632c1 71200f1 |
Quadratic twists by: -4 8 -3 5 |