Atkin-Lehner |
3- 7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51471m |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
200173446963 = 36 · 72 · 194 · 43 |
Discriminant |
Eigenvalues |
1 3- 4 7- 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1590,-11107] |
[a1,a2,a3,a4,a6] |
j |
610015948641/274586347 |
j-invariant |
L |
6.3087435689569 |
L(r)(E,1)/r! |
Ω |
0.78859294613024 |
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 |
5719a2 |
Quadratic twists by: -3 |