Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352ch |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-7305901251264 = -1 · 26 · 36 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1776,-133198] |
[a1,a2,a3,a4,a6] |
Generators |
[383:7441:1] |
Generators of the group modulo torsion |
j |
-13278380032/156590819 |
j-invariant |
L |
8.3944996910612 |
L(r)(E,1)/r! |
Ω |
0.31698621112741 |
Real period |
R |
4.4137039174884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352ec2 693c2 4928o2 |
Quadratic twists by: -4 8 -3 |