Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480cq |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-231000000000000 = -1 · 212 · 3 · 512 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14504,-282796] |
[a1,a2,a3,a4,a6] |
j |
82375335041831/56396484375 |
j-invariant |
L |
2.5281284416682 |
L(r)(E,1)/r! |
Ω |
0.31601605520852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1155c4 73920fd3 55440eb3 92400en3 |
Quadratic twists by: -4 8 -3 5 |