Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200o |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9.8867482624E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3957633,3385712863] |
[a1,a2,a3,a4,a6] |
Generators |
[-1077:80000:1] |
Generators of the group modulo torsion |
j |
-1673672305534489/241375690000 |
j-invariant |
L |
2.3489151000663 |
L(r)(E,1)/r! |
Ω |
0.15113963573249 |
Real period |
R |
1.9426696781774 |
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 |
27200by2 850h2 5440l2 |
Quadratic twists by: -4 8 5 |