Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3822d |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11363667968016 = 24 · 36 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6689,-137115] |
[a1,a2,a3,a4,a6] |
j |
281397674377/96589584 |
j-invariant |
L |
1.0852892305708 |
L(r)(E,1)/r! |
Ω |
0.5426446152854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30576co2 122304ef2 11466cb2 95550kb2 |
Quadratic twists by: -4 8 -3 5 |