Atkin-Lehner |
2- 3+ 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19734r |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1050213050172 = -1 · 22 · 38 · 11 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2158,-29797] |
[a1,a2,a3,a4,a6] |
j |
1111387364856287/1050213050172 |
j-invariant |
L |
3.8239810692709 |
L(r)(E,1)/r! |
Ω |
0.47799763365886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59202m3 |
Quadratic twists by: -3 |