Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200bj |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[67:352:1] |
Generators of the group modulo torsion |
j |
-121945/17 |
j-invariant |
L |
7.2184739556994 |
L(r)(E,1)/r! |
Ω |
0.81148398067333 |
Real period |
R |
2.2238498009874 |
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 |
27200cw1 425b1 27200f1 |
Quadratic twists by: -4 8 5 |