Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3822x |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3810436282926 = -1 · 2 · 34 · 77 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2106,-85359] |
[a1,a2,a3,a4,a6] |
j |
8780064047/32388174 |
j-invariant |
L |
1.5972455855563 |
L(r)(E,1)/r! |
Ω |
0.39931139638908 |
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 |
30576dc3 122304dh3 11466y4 95550eb3 |
Quadratic twists by: -4 8 -3 5 |