Atkin-Lehner |
2- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87232q |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-4695175168 = -1 · 212 · 293 · 47 |
Discriminant |
Eigenvalues |
2- -2 -4 -1 -5 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,375,1879] |
[a1,a2,a3,a4,a6] |
Generators |
[17:116:1] |
Generators of the group modulo torsion |
j |
1420034624/1146283 |
j-invariant |
L |
2.8927377405689 |
L(r)(E,1)/r! |
Ω |
0.88531460760836 |
Real period |
R |
0.54457811196299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232t1 43616a1 |
Quadratic twists by: -4 8 |