Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080bp |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-86822092800 = -1 · 224 · 32 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,255,14175] |
[a1,a2,a3,a4,a6] |
j |
6967871/331200 |
j-invariant |
L |
3.268011100018 |
L(r)(E,1)/r! |
Ω |
0.81700277500449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080cb1 690h1 66240bi1 110400i1 |
Quadratic twists by: -4 8 -3 5 |