Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560bb |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6715457711308800 = -1 · 216 · 37 · 52 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41172,-2281552] |
[a1,a2,a3,a4,a6] |
j |
161555647964/140562075 |
j-invariant |
L |
1.8560377226355 |
L(r)(E,1)/r! |
Ω |
0.23200475752988 |
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 |
106560ee3 13320g4 35520j3 |
Quadratic twists by: -4 8 -3 |