Atkin-Lehner |
2+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87232b |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-22331392 = -1 · 214 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ -2 0 1 -3 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,207] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] |
Generators of the group modulo torsion |
j |
686000/1363 |
j-invariant |
L |
4.7431493764423 |
L(r)(E,1)/r! |
Ω |
1.4803084813028 |
Real period |
R |
1.6020814061427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999787927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232n1 10904a1 |
Quadratic twists by: -4 8 |