Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600u |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-51726924000000 = -1 · 28 · 311 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 -2 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8567,-160237] |
[a1,a2,a3,a4,a6] |
Generators |
[62:783:1] |
Generators of the group modulo torsion |
j |
17381983232/12931731 |
j-invariant |
L |
9.5967969599685 |
L(r)(E,1)/r! |
Ω |
0.35393048118992 |
Real period |
R |
2.4649927964389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43800g1 3504e1 |
Quadratic twists by: -4 5 |