Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
1692d |
Isogeny class |
Conductor |
1692 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
58127590656 = 28 · 37 · 473 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 3 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4656,121732] |
[a1,a2,a3,a4,a6] |
j |
59812937728/311469 |
j-invariant |
L |
2.2380580703512 |
L(r)(E,1)/r! |
Ω |
1.1190290351756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6768q2 27072bh2 564b2 42300m2 |
Quadratic twists by: -4 8 -3 5 |