Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69966z |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1.6331945980459E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24796895,-47517223737] |
[a1,a2,a3,a4,a6] |
Generators |
[-2859:2786:1] |
Generators of the group modulo torsion |
j |
479212306722528625/46414138368 |
j-invariant |
L |
11.416769880107 |
L(r)(E,1)/r! |
Ω |
0.067655444893882 |
Real period |
R |
4.2187180566281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23322d2 5382b2 |
Quadratic twists by: -3 13 |