Atkin-Lehner |
3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38115i |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2105706236755275 = 36 · 52 · 72 · 119 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72623,-7183844] |
[a1,a2,a3,a4,a6] |
j |
24642171/1225 |
j-invariant |
L |
1.1668892494277 |
L(r)(E,1)/r! |
Ω |
0.2917223123652 |
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 |
4235d2 38115q2 |
Quadratic twists by: -3 -11 |