Atkin-Lehner |
2+ 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270l |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
5803468580250000 = 24 · 312 · 56 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1336508,594587306] |
[a1,a2,a3,a4,a6] |
j |
264020672568758737421881/5803468580250000 |
j-invariant |
L |
1.5762141712509 |
L(r)(E,1)/r! |
Ω |
0.39405354281273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
12 |
Number of elements in the torsion subgroup |
Twists |
50160bo2 18810z2 31350bi2 68970cv2 |
Quadratic twists by: -4 -3 5 -11 |