Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720bk |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5964536217600 = 220 · 34 · 52 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22640,1298388] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:1590:1] |
Generators of the group modulo torsion |
j |
313337384670961/1456185600 |
j-invariant |
L |
5.2428642370176 |
L(r)(E,1)/r! |
Ω |
0.76062112862944 |
Real period |
R |
1.7232180515629 |
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 |
1590p2 50880cf2 38160bk2 63600bo2 |
Quadratic twists by: -4 8 -3 5 |