Atkin-Lehner |
2+ 3+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
3318a |
Isogeny class |
Conductor |
3318 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2666141711856 = 24 · 316 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 6 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5784,147600] |
[a1,a2,a3,a4,a6] |
j |
21405524842912393/2666141711856 |
j-invariant |
L |
1.5617395727889 |
L(r)(E,1)/r! |
Ω |
0.78086978639445 |
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 |
26544t2 106176r2 9954d2 82950cr2 |
Quadratic twists by: -4 8 -3 5 |