Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21824n |
Isogeny class |
Conductor |
21824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-3841024 = -1 · 210 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 2 -1 1 11- 0 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39,-31] |
[a1,a2,a3,a4,a6] |
Generators |
[8:27:1] |
Generators of the group modulo torsion |
j |
6243584/3751 |
j-invariant |
L |
7.0955655286996 |
L(r)(E,1)/r! |
Ω |
1.4453775962885 |
Real period |
R |
2.4545715759396 |
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 |
21824r1 1364a1 |
Quadratic twists by: -4 8 |