Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024z |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-43147402746624 = -1 · 28 · 32 · 117 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3348,-306000] |
[a1,a2,a3,a4,a6] |
j |
9148592/95139 |
j-invariant |
L |
5.0618706555144 |
L(r)(E,1)/r! |
Ω |
0.31636691672018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8184e2 |
Quadratic twists by: -11 |