Atkin-Lehner |
3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1653b |
Isogeny class |
Conductor |
1653 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2732409 = 32 · 192 · 292 |
Discriminant |
Eigenvalues |
1 3+ -2 0 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36,-45] |
[a1,a2,a3,a4,a6] |
j |
5386984777/2732409 |
j-invariant |
L |
1.0245893362538 |
L(r)(E,1)/r! |
Ω |
2.0491786725076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26448q2 105792r2 4959h2 41325k2 |
Quadratic twists by: -4 8 -3 5 |