Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200m |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2959360000000000 = -1 · 220 · 510 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 2 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19967,2388063] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:1088:1] |
Generators of the group modulo torsion |
j |
214921799/722500 |
j-invariant |
L |
3.819122162229 |
L(r)(E,1)/r! |
Ω |
0.31946349552154 |
Real period |
R |
1.494349986684 |
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 |
27200ca2 850g2 5440c2 |
Quadratic twists by: -4 8 5 |