Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152bb |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-89132182272 = -1 · 28 · 39 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 4 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,897,-9970] |
[a1,a2,a3,a4,a6] |
j |
427694384/477603 |
j-invariant |
L |
4.6357322519282 |
L(r)(E,1)/r! |
Ω |
0.57946653149103 |
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 |
9576h2 76608fe2 6384f2 |
Quadratic twists by: -4 8 -3 |