Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9306j |
Isogeny class |
Conductor |
9306 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2546347903308 = 22 · 39 · 114 · 472 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11+ -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4118,-65671] |
[a1,a2,a3,a4,a6] |
j |
10591472326681/3492932652 |
j-invariant |
L |
4.893744535701 |
L(r)(E,1)/r! |
Ω |
0.61171806696262 |
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 |
74448bq2 3102g2 102366v2 |
Quadratic twists by: -4 -3 -11 |