Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184bn |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.0272991414476E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6037995,-40734523366] |
[a1,a2,a3,a4,a6] |
j |
-8152944444844179625/235342826399858688 |
j-invariant |
L |
2.8286415088077 |
L(r)(E,1)/r! |
Ω |
0.039286687622329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2898p3 92736ei3 7728h3 |
Quadratic twists by: -4 8 -3 |