Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430bf |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-15434261095680 = -1 · 28 · 36 · 5 · 74 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4539,-147519] |
[a1,a2,a3,a4,a6] |
Generators |
[90:951:1] |
Generators of the group modulo torsion |
j |
10341851093067311/15434261095680 |
j-invariant |
L |
8.5847348353144 |
L(r)(E,1)/r! |
Ω |
0.37018398824785 |
Real period |
R |
0.4831344630785 |
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 |
52290bj2 87150v2 122010ci2 |
Quadratic twists by: -3 5 -7 |