Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dn |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7918706521571328 = 215 · 310 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1527564,-726674128] |
[a1,a2,a3,a4,a6] |
Generators |
[-2080429637:159400015:2924207] |
Generators of the group modulo torsion |
j |
16502300582616584/331494849 |
j-invariant |
L |
7.9033507780744 |
L(r)(E,1)/r! |
Ω |
0.13580014210984 |
Real period |
R |
14.549599607788 |
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 |
68544el4 34272j4 22848bz4 |
Quadratic twists by: -4 8 -3 |