Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200v |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-69632000000000 = -1 · 221 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 0 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4033,412063] |
[a1,a2,a3,a4,a6] |
j |
-1771561/17000 |
j-invariant |
L |
2.1055116195239 |
L(r)(E,1)/r! |
Ω |
0.52637790488105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27200cj1 850k1 5440a1 |
Quadratic twists by: -4 8 5 |