Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720r |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15532646400 = 213 · 33 · 52 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4696,125296] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:424:1] |
Generators of the group modulo torsion |
j |
2796665386969/3792150 |
j-invariant |
L |
3.3972233904374 |
L(r)(E,1)/r! |
Ω |
1.2401394559669 |
Real period |
R |
0.68484704967891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590h2 50880dy2 38160bt2 63600cu2 |
Quadratic twists by: -4 8 -3 5 |