Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152u |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
52003547821322496 = 28 · 314 · 76 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-334479,73643470] |
[a1,a2,a3,a4,a6] |
Generators |
[62:7290:1] |
Generators of the group modulo torsion |
j |
22174957026242512/278654127129 |
j-invariant |
L |
6.1555528256885 |
L(r)(E,1)/r! |
Ω |
0.35651442313212 |
Real period |
R |
2.8776548840154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9576v2 76608fu2 6384n2 |
Quadratic twists by: -4 8 -3 |