Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
6390f |
Isogeny class |
Conductor |
6390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-46583100 = -1 · 22 · 38 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,90,0] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
109902239/63900 |
j-invariant |
L |
2.7914329364745 |
L(r)(E,1)/r! |
Ω |
1.2150316457889 |
Real period |
R |
0.57435395739468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51120w1 2130m1 31950ck1 |
Quadratic twists by: -4 -3 5 |