Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1680t |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1416757493760 = 214 · 3 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5920,-167692] |
[a1,a2,a3,a4,a6] |
j |
5602762882081/345888060 |
j-invariant |
L |
2.1854884692782 |
L(r)(E,1)/r! |
Ω |
0.54637211731956 |
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 |
210c4 6720bg3 5040bg4 8400bp3 |
Quadratic twists by: -4 8 -3 5 |