Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376cz |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
887730125893632 = 212 · 36 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-658625,-205948401] |
[a1,a2,a3,a4,a6] |
Generators |
[-470:57:1] |
Generators of the group modulo torsion |
j |
65567831132224/1842183 |
j-invariant |
L |
3.8216169023756 |
L(r)(E,1)/r! |
Ω |
0.16758713594551 |
Real period |
R |
1.9003133705339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376j2 12768l2 |
Quadratic twists by: -4 -7 |