Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1680t |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35404185600 = 216 · 32 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1120,10868] |
[a1,a2,a3,a4,a6] |
j |
37966934881/8643600 |
j-invariant |
L |
2.1854884692782 |
L(r)(E,1)/r! |
Ω |
1.0927442346391 |
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 |
210c2 6720bg2 5040bg2 8400bp2 |
Quadratic twists by: -4 8 -3 5 |