Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
19488f |
Isogeny class |
Conductor |
19488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
770361887232 = 29 · 32 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3584,72180] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:84:1] [17:126:1] |
Generators of the group modulo torsion |
j |
9946697822216/1504613061 |
j-invariant |
L |
5.8589470768323 |
L(r)(E,1)/r! |
Ω |
0.86016336037826 |
Real period |
R |
3.4057176501083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19488g2 38976bu3 58464m3 |
Quadratic twists by: -4 8 -3 |