Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384dx |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
3 |
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] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
3511808/10179 |
j-invariant |
L |
5.3926886485353 |
L(r)(E,1)/r! |
Ω |
2.0248380973299 |
Real period |
R |
0.88775635204388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72384cq1 36192v1 |
Quadratic twists by: -4 8 |