Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080db |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-152616960 = -1 · 214 · 34 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -6 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-805,-9085] |
[a1,a2,a3,a4,a6] |
Generators |
[38:129:1] |
Generators of the group modulo torsion |
j |
-3525581824/9315 |
j-invariant |
L |
5.6960253978824 |
L(r)(E,1)/r! |
Ω |
0.4480298064731 |
Real period |
R |
3.1783741369361 |
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 |
22080p1 5520b1 66240ep1 110400fv1 |
Quadratic twists by: -4 8 -3 5 |