Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342bn |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
Δ |
1.7873098874482E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43449755,110246422731] |
[a1,a2,a3,a4,a6] |
Generators |
[4307:-56838:1] |
Generators of the group modulo torsion |
j |
105771808529903265625/2083934619648 |
j-invariant |
L |
8.0475663180803 |
L(r)(E,1)/r! |
Ω |
0.16604994043455 |
Real period |
R |
1.1014712442725 |
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 |
9114e2 3906o2 |
Quadratic twists by: -3 -7 |