Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1692c |
Isogeny class |
Conductor |
1692 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
2131432704 = 28 · 311 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -3 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1992,34148] |
[a1,a2,a3,a4,a6] |
Generators |
[4:162:1] |
Generators of the group modulo torsion |
j |
4684079104/11421 |
j-invariant |
L |
2.9187243321344 |
L(r)(E,1)/r! |
Ω |
1.46995647968 |
Real period |
R |
0.16546546176034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6768s1 27072l1 564a1 42300t1 |
Quadratic twists by: -4 8 -3 5 |