Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3366m |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7803479277988416 = 26 · 320 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-892319,-324184377] |
[a1,a2,a3,a4,a6] |
j |
107784459654566688937/10704361149504 |
j-invariant |
L |
3.7280642403932 |
L(r)(E,1)/r! |
Ω |
0.15533601001638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26928bt2 107712cj2 1122c2 84150bc2 |
Quadratic twists by: -4 8 -3 5 |