Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1740f |
Isogeny class |
Conductor |
1740 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-475672500000000 = -1 · 28 · 38 · 510 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84220,-9493900] |
[a1,a2,a3,a4,a6] |
j |
-258068272529292496/1858095703125 |
j-invariant |
L |
2.8012930856663 |
L(r)(E,1)/r! |
Ω |
0.14006465428332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6960z2 27840m2 5220k2 8700c2 |
Quadratic twists by: -4 8 -3 5 |