Atkin-Lehner |
3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38829h |
Isogeny class |
Conductor |
38829 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
272448 |
Modular degree for the optimal curve |
Δ |
-10554444850673703 = -1 · 3 · 7 · 439 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8282,-4933621] |
[a1,a2,a3,a4,a6] |
j |
125/21 |
j-invariant |
L |
0.38306873056323 |
L(r)(E,1)/r! |
Ω |
0.19153436527227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116487f1 38829c1 |
Quadratic twists by: -3 -43 |