Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5418n |
Isogeny class |
Conductor |
5418 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
188117359416 = 23 · 313 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 2 -3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7583,255183] |
[a1,a2,a3,a4,a6] |
Generators |
[29:228:1] |
Generators of the group modulo torsion |
j |
66140223486121/258048504 |
j-invariant |
L |
5.305150559055 |
L(r)(E,1)/r! |
Ω |
1.0140936719153 |
Real period |
R |
0.43595171941688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43344bv1 1806a1 37926bm1 |
Quadratic twists by: -4 -3 -7 |