Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dn |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
856569369536004096 = 215 · 322 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-398604,86021840] |
[a1,a2,a3,a4,a6] |
Generators |
[218:3080:1] |
Generators of the group modulo torsion |
j |
293204888234504/35857918593 |
j-invariant |
L |
7.9033507780744 |
L(r)(E,1)/r! |
Ω |
0.27160028421968 |
Real period |
R |
3.637399901947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544el3 34272j3 22848bz3 |
Quadratic twists by: -4 8 -3 |