Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190f |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
190750629888000 = 216 · 39 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30444,1941200] |
[a1,a2,a3,a4,a6] |
Generators |
[56:612:1] |
Generators of the group modulo torsion |
j |
158542456758867/9691136000 |
j-invariant |
L |
3.3506744206531 |
L(r)(E,1)/r! |
Ω |
0.55752389847696 |
Real period |
R |
1.0016534507329 |
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 |
65520cc1 8190bc1 40950db1 57330g1 |
Quadratic twists by: -4 -3 5 -7 |