Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dv |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4928321642496000 = 216 · 3 · 53 · 74 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-516720,-143097900] |
[a1,a2,a3,a4,a6] |
Generators |
[2180:95370:1] |
Generators of the group modulo torsion |
j |
3725035528036823281/1203203526000 |
j-invariant |
L |
6.9707449147187 |
L(r)(E,1)/r! |
Ω |
0.17807136395009 |
Real period |
R |
3.2621494926198 |
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 |
3570u3 114240fr4 85680du4 |
Quadratic twists by: -4 8 -3 |