Atkin-Lehner |
2- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200cw |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1740800000000 = -1 · 218 · 58 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -4 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4833,-142463] |
[a1,a2,a3,a4,a6] |
j |
-121945/17 |
j-invariant |
L |
0.56818399157751 |
L(r)(E,1)/r! |
Ω |
0.28409199578849 |
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 |
27200bj1 6800w1 27200bu1 |
Quadratic twists by: -4 8 5 |