Atkin-Lehner |
2- 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648q |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17487540224 = 212 · 72 · 11 · 892 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-731,4170] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:98:1] [-1:70:1] |
Generators of the group modulo torsion |
j |
10546683057/4269419 |
j-invariant |
L |
10.145175666913 |
L(r)(E,1)/r! |
Ω |
1.1162322350628 |
Real period |
R |
4.5443839316045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6853g2 |
Quadratic twists by: -4 |