Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552j |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-7772846057699014656 = -1 · 211 · 318 · 73 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237891,141376030] |
[a1,a2,a3,a4,a6] |
Generators |
[6:11830:1] |
Generators of the group modulo torsion |
j |
-997241325462146/5206220835543 |
j-invariant |
L |
3.4607560709352 |
L(r)(E,1)/r! |
Ω |
0.20277974368906 |
Real period |
R |
2.8444294681309 |
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 |
13104n4 52416da3 2184l4 45864t3 |
Quadratic twists by: -4 8 -3 -7 |