Atkin-Lehner |
2- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87232u |
Isogeny class |
Conductor |
87232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-22867345408 = -1 · 224 · 29 · 47 |
Discriminant |
Eigenvalues |
2- -2 -2 1 -1 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31,-7265] |
[a1,a2,a3,a4,a6] |
j |
12167/87232 |
j-invariant |
L |
1.1126841372915 |
L(r)(E,1)/r! |
Ω |
0.55634203473232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87232g1 21808e1 |
Quadratic twists by: -4 8 |