Atkin-Lehner |
2- 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16530x |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
14257022769388500 = 22 · 3 · 53 · 19 · 298 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-166735,25498337] |
[a1,a2,a3,a4,a6] |
j |
512630210394383837041/14257022769388500 |
j-invariant |
L |
4.7319147722424 |
L(r)(E,1)/r! |
Ω |
0.3943262310202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49590r3 82650w3 |
Quadratic twists by: -3 5 |