Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200cj |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[101:448:1] |
Generators of the group modulo torsion |
j |
-1771561/17000 |
j-invariant |
L |
5.1063244814861 |
L(r)(E,1)/r! |
Ω |
0.26127193882968 |
Real period |
R |
2.4430122999235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27200v1 6800s1 5440q1 |
Quadratic twists by: -4 8 5 |