Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200ca |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
27852800000000 = 222 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -2 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12033,-436063] |
[a1,a2,a3,a4,a6] |
j |
47045881/6800 |
j-invariant |
L |
0.92045142547902 |
L(r)(E,1)/r! |
Ω |
0.46022571273924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27200m1 6800n1 5440t1 |
Quadratic twists by: -4 8 5 |