Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544el |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
13594007865102336 = 212 · 314 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98724,10539520] |
[a1,a2,a3,a4,a6] |
j |
35637273157312/4552605729 |
j-invariant |
L |
3.0644389442266 |
L(r)(E,1)/r! |
Ω |
0.38305486763706 |
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 |
68544dn2 34272q1 22848cy2 |
Quadratic twists by: -4 8 -3 |