Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430bq |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
10092649325901030 = 2 · 32 · 5 · 73 · 836 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54030,61182] |
[a1,a2,a3,a4,a6] |
Generators |
[54762:325895:216] |
Generators of the group modulo torsion |
j |
17443318757580465121/10092649325901030 |
j-invariant |
L |
9.7596769325202 |
L(r)(E,1)/r! |
Ω |
0.34458532544223 |
Real period |
R |
9.4409871923543 |
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 |
52290ba4 87150g4 122010bv4 |
Quadratic twists by: -3 5 -7 |