Atkin-Lehner |
2+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
12784b |
Isogeny class |
Conductor |
12784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
38454272 = 210 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 0 -4 -4 -6 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-347,-2470] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:4:1] |
Generators of the group modulo torsion |
j |
4512447684/37553 |
j-invariant |
L |
1.9941949894037 |
L(r)(E,1)/r! |
Ω |
1.1067134595891 |
Real period |
R |
0.90095361727336 |
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 |
6392a2 51136o2 115056e2 |
Quadratic twists by: -4 8 -3 |