Atkin-Lehner |
2- 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18960p |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
129227020738560 = 213 · 34 · 5 · 794 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71200,7315840] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:2808:1] [136:360:1] |
Generators of the group modulo torsion |
j |
9745628331520801/31549565610 |
j-invariant |
L |
6.0286542274318 |
L(r)(E,1)/r! |
Ω |
0.58799589553248 |
Real period |
R |
5.1264424405324 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2370n3 75840ck4 56880bl4 94800dc4 |
Quadratic twists by: -4 8 -3 5 |