Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4176bd |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-4853603886192 = -1 · 24 · 321 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 3 5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-849,106423] |
[a1,a2,a3,a4,a6] |
j |
-5802287872/416118303 |
j-invariant |
L |
2.5406237865976 |
L(r)(E,1)/r! |
Ω |
0.6351559466494 |
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 |
1044g1 16704co1 1392n1 104400eh1 |
Quadratic twists by: -4 8 -3 5 |