Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
19140h |
Isogeny class |
Conductor |
19140 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
103356000000 = 28 · 34 · 56 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2076,-33660] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:54:1] |
Generators of the group modulo torsion |
j |
3867007151824/403734375 |
j-invariant |
L |
6.1237031809087 |
L(r)(E,1)/r! |
Ω |
0.71202609884881 |
Real period |
R |
1.4333985769176 |
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 |
76560y2 57420l2 95700j2 |
Quadratic twists by: -4 -3 5 |