Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dn |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
64 |
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] |
Generators |
[156380:5338476:125] |
Generators of the group modulo torsion |
j |
35637273157312/4552605729 |
j-invariant |
L |
7.9033507780744 |
L(r)(E,1)/r! |
Ω |
0.27160028421968 |
Real period |
R |
7.2747998038941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000707 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68544el2 34272j1 22848bz2 |
Quadratic twists by: -4 8 -3 |