Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cn |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6773871767040000 = 212 · 33 · 54 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59176,-3855824] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:1274:1] |
Generators of the group modulo torsion |
j |
5595100866606889/1653777286875 |
j-invariant |
L |
4.5902892516798 |
L(r)(E,1)/r! |
Ω |
0.31306077052582 |
Real period |
R |
1.8328267559561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1785i4 114240kr3 85680ft3 |
Quadratic twists by: -4 8 -3 |