Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080bo |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-41400000 = -1 · 26 · 32 · 55 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -4 0 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2925,-61875] |
[a1,a2,a3,a4,a6] |
j |
-43258336804864/646875 |
j-invariant |
L |
3.2458267073236 |
L(r)(E,1)/r! |
Ω |
0.32458267073236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22080ca1 345a1 66240bf1 110400e1 |
Quadratic twists by: -4 8 -3 5 |