Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544bi |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
265208505827328 = 219 · 36 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16140,-94736] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:833:1] |
Generators of the group modulo torsion |
j |
2433138625/1387778 |
j-invariant |
L |
5.67526205392 |
L(r)(E,1)/r! |
Ω |
0.45832462637886 |
Real period |
R |
3.0956562919833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544ep2 2142e2 7616b2 |
Quadratic twists by: -4 8 -3 |