Atkin-Lehner |
2- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73892c |
Isogeny class |
Conductor |
73892 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
11025111720283024 = 24 · 78 · 132 · 294 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 3 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-498150,-135400063] |
[a1,a2,a3,a4,a6] |
Generators |
[886:10933:1] |
Generators of the group modulo torsion |
j |
148217910029056/119530489 |
j-invariant |
L |
8.8567457257727 |
L(r)(E,1)/r! |
Ω |
0.17971340523295 |
Real period |
R |
2.0534420984226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73892n1 |
Quadratic twists by: -7 |