Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600v |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2628000000 = 28 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,6588] |
[a1,a2,a3,a4,a6] |
Generators |
[2:72:1] |
Generators of the group modulo torsion |
j |
9826000/657 |
j-invariant |
L |
7.088717170063 |
L(r)(E,1)/r! |
Ω |
1.414092508203 |
Real period |
R |
2.506454536673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43800u1 3504b1 |
Quadratic twists by: -4 5 |