Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298cr |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6.591940457842E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1808806,-3792862807] |
[a1,a2,a3,a4,a6] |
Generators |
[2602483:-8552835:2197] |
Generators of the group modulo torsion |
j |
506776266613583/5104222958736 |
j-invariant |
L |
13.079087487269 |
L(r)(E,1)/r! |
Ω |
0.065845191143918 |
Real period |
R |
12.414619111721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766s3 8118a4 |
Quadratic twists by: -3 -11 |