Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384cq |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-651456 = -1 · 26 · 33 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 2 13- 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13,-39] |
[a1,a2,a3,a4,a6] |
j |
3511808/10179 |
j-invariant |
L |
1.4764229033017 |
L(r)(E,1)/r! |
Ω |
1.476422874589 |
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 |
72384dx1 36192bb1 |
Quadratic twists by: -4 8 |