Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3108f |
Isogeny class |
Conductor |
3108 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
38645920067328 = 28 · 38 · 75 · 372 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 0 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-90636,-10528668] |
[a1,a2,a3,a4,a6] |
j |
321655313992678864/150960625263 |
j-invariant |
L |
3.3019268809977 |
L(r)(E,1)/r! |
Ω |
0.27516057341648 |
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 |
12432bm2 49728h2 9324d2 77700f2 |
Quadratic twists by: -4 8 -3 5 |