Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200l |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
92480000000 = 212 · 57 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192633,32477863] |
[a1,a2,a3,a4,a6] |
Generators |
[6771:1700:27] |
Generators of the group modulo torsion |
j |
12352022024896/1445 |
j-invariant |
L |
3.8626598192583 |
L(r)(E,1)/r! |
Ω |
0.82943728135839 |
Real period |
R |
1.1642410782803 |
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 |
27200j2 13600b1 5440m2 |
Quadratic twists by: -4 8 5 |