Atkin-Lehner |
2- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
87232n |
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 |
[417:1700:27] |
Generators of the group modulo torsion |
j |
686000/1363 |
j-invariant |
L |
10.005253814587 |
L(r)(E,1)/r! |
Ω |
1.1181557467827 |
Real period |
R |
4.4739982987977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232b1 21808b1 |
Quadratic twists by: -4 8 |