Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280ct |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7561840803840000 = 217 · 33 · 54 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66241,-5077441] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:1200:1] |
Generators of the group modulo torsion |
j |
245245463376482/57692266875 |
j-invariant |
L |
6.9786667843975 |
L(r)(E,1)/r! |
Ω |
0.30265069227207 |
Real period |
R |
1.9215405092929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280i3 10320f4 123840ft3 |
Quadratic twists by: -4 8 -3 |