Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280dg |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
531162623803392000 = 218 · 39 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-329427,-63771246] |
[a1,a2,a3,a4,a6] |
j |
416832723/56000 |
j-invariant |
L |
2.4125952428284 |
L(r)(E,1)/r! |
Ω |
0.20104960356986 |
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 |
4410d3 35280cv1 5040u3 |
Quadratic twists by: -4 -3 -7 |