Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200cl |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9469952000000 = 221 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 6 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68833,-6926463] |
[a1,a2,a3,a4,a6] |
Generators |
[-240272721:-50816332:1601613] |
Generators of the group modulo torsion |
j |
8805624625/2312 |
j-invariant |
L |
7.3965731767741 |
L(r)(E,1)/r! |
Ω |
0.29475195694441 |
Real period |
R |
12.547114620462 |
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 |
27200z2 6800t2 1088i2 |
Quadratic twists by: -4 8 5 |