Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926br |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-19826382659328 = -1 · 28 · 37 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5944,120075] |
[a1,a2,a3,a4,a6] |
j |
270840023/231168 |
j-invariant |
L |
3.5541084210111 |
L(r)(E,1)/r! |
Ω |
0.4442635526249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12642f1 5418u1 |
Quadratic twists by: -3 -7 |