Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544q |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1419600048685056 = -1 · 221 · 39 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9396,1778544] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-1728:1] [-50:1088:1] |
Generators of the group modulo torsion |
j |
17779581/275128 |
j-invariant |
L |
8.5845493804769 |
L(r)(E,1)/r! |
Ω |
0.3563002860235 |
Real period |
R |
3.0116974772552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544cv2 2142b2 68544w1 |
Quadratic twists by: -4 8 -3 |