Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200br |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-342102016000000 = -1 · 218 · 56 · 174 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1100,890000] |
[a1,a2,a3,a4,a6] |
j |
-35937/83521 |
j-invariant |
L |
1.7365578947564 |
L(r)(E,1)/r! |
Ω |
0.43413947368928 |
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 |
27200c3 6800h4 1088k4 |
Quadratic twists by: -4 8 5 |