Atkin-Lehner |
2- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
109504r |
Isogeny class |
Conductor |
109504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
199849895002112 = 225 · 29 · 593 |
Discriminant |
Eigenvalues |
2- 2 -4 2 3 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64385,6272801] |
[a1,a2,a3,a4,a6] |
Generators |
[-7827:18944:27] |
Generators of the group modulo torsion |
j |
112601619161569/762366848 |
j-invariant |
L |
8.6129238733978 |
L(r)(E,1)/r! |
Ω |
0.56776642443644 |
Real period |
R |
7.5849182881291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109504n1 27376h1 |
Quadratic twists by: -4 8 |