Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4176bf |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-4156489728 = -1 · 216 · 37 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-3094] |
[a1,a2,a3,a4,a6] |
j |
12167/1392 |
j-invariant |
L |
1.3143059948449 |
L(r)(E,1)/r! |
Ω |
0.65715299742245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
522k1 16704cl1 1392h1 104400eg1 |
Quadratic twists by: -4 8 -3 5 |