Atkin-Lehner |
2- 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786dd |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
2.0716276254698E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1536984,241449984] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:17244:1] [-1116:24372:1] |
Generators of the group modulo torsion |
j |
3413056905320720113/1760854427551296 |
j-invariant |
L |
17.212430725185 |
L(r)(E,1)/r! |
Ω |
0.15686653242706 |
Real period |
R |
1.1429853813986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995829 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13398z2 |
Quadratic twists by: -7 |