Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cn |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
51798536294400 = 212 · 36 · 52 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22456,1255600] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:1512:1] |
Generators of the group modulo torsion |
j |
305759741604409/12646127025 |
j-invariant |
L |
4.5902892516798 |
L(r)(E,1)/r! |
Ω |
0.62612154105165 |
Real period |
R |
0.91641337797806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1785i2 114240kr2 85680ft2 |
Quadratic twists by: -4 8 -3 |