Atkin-Lehner |
2- 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470bb |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1270782562500 = 22 · 32 · 56 · 11 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46816,-3902404] |
[a1,a2,a3,a4,a6] |
j |
11347683263097527809/1270782562500 |
j-invariant |
L |
5.8421991023046 |
L(r)(E,1)/r! |
Ω |
0.3245666167947 |
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 |
58410o3 97350h3 |
Quadratic twists by: -3 5 |