Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720bn |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
248961081600 = 28 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2847,53314] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:270:1] |
Generators of the group modulo torsion |
j |
13674725584/1334025 |
j-invariant |
L |
5.7316917299783 |
L(r)(E,1)/r! |
Ω |
0.95855543910776 |
Real period |
R |
0.74743873647432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440bm2 9240k2 |
Quadratic twists by: -4 -3 |