Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384co |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
244224 |
Modular degree for the optimal curve |
Δ |
-123843098935296 = -1 · 215 · 33 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 2 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30945,-2152287] |
[a1,a2,a3,a4,a6] |
j |
-100013648946632/3779391447 |
j-invariant |
L |
2.1549642512428 |
L(r)(E,1)/r! |
Ω |
0.1795803536079 |
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 |
72384dv1 36192k1 |
Quadratic twists by: -4 8 |