Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dw |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
110887236956160 = 212 · 33 · 5 · 74 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16240,-620140] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:294:1] |
Generators of the group modulo torsion |
j |
115650783909361/27072079335 |
j-invariant |
L |
6.6825657829725 |
L(r)(E,1)/r! |
Ω |
0.43006230232916 |
Real period |
R |
1.2948832736522 |
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 |
1785h3 114240fn4 85680dp4 |
Quadratic twists by: -4 8 -3 |