Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200cl |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
197734965248000000 = 219 · 56 · 176 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 6 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180833,20513537] |
[a1,a2,a3,a4,a6] |
Generators |
[3352:192525:1] |
Generators of the group modulo torsion |
j |
159661140625/48275138 |
j-invariant |
L |
7.3965731767741 |
L(r)(E,1)/r! |
Ω |
0.29475195694441 |
Real period |
R |
4.1823715401541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27200z4 6800t4 1088i4 |
Quadratic twists by: -4 8 5 |