Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712bb |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.6781131919579E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1413264,171955476] |
[a1,a2,a3,a4,a6] |
Generators |
[-870:1685376:125] |
Generators of the group modulo torsion |
j |
29704593673/15968016 |
j-invariant |
L |
6.4560721200728 |
L(r)(E,1)/r! |
Ω |
0.15836634508557 |
Real period |
R |
6.7944487789258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8214g2 1776j2 |
Quadratic twists by: -4 37 |