Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dc |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
184812061593600 = 212 · 32 · 52 · 74 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23920,1272832] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:1560:1] |
Generators of the group modulo torsion |
j |
369543396484081/45120132225 |
j-invariant |
L |
5.5429183163167 |
L(r)(E,1)/r! |
Ω |
0.54885270905419 |
Real period |
R |
2.5247749646115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
1785m3 114240jk3 85680ek3 |
Quadratic twists by: -4 8 -3 |