Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hd |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
2.091964644E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76230008,256149683988] |
[a1,a2,a3,a4,a6] |
Generators |
[5164:-15246:1] |
Generators of the group modulo torsion |
j |
765458482133960722801/326869475625 |
j-invariant |
L |
8.9938855842002 |
L(r)(E,1)/r! |
Ω |
0.17543752614182 |
Real period |
R |
1.0680304300429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918128 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5775c3 18480cd4 |
Quadratic twists by: -4 5 |