Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22984g |
Isogeny class |
Conductor |
22984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
3550060097792 = 28 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 0 -4 -2 2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3887,21970] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:338:1] |
Generators of the group modulo torsion |
j |
5256144/2873 |
j-invariant |
L |
2.7046730587515 |
L(r)(E,1)/r! |
Ω |
0.6878452222011 |
Real period |
R |
0.98302385894918 |
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 |
45968e1 1768a1 |
Quadratic twists by: -4 13 |