Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560ci |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3342391148544000 = 218 · 3 · 53 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2046056,1127161200] |
[a1,a2,a3,a4,a6] |
Generators |
[850:1190:1] |
Generators of the group modulo torsion |
j |
231268521845235080809/816013464000 |
j-invariant |
L |
3.4009293036605 |
L(r)(E,1)/r! |
Ω |
0.39100925724186 |
Real period |
R |
4.348911490805 |
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 |
3570k4 114240jy4 85680et4 |
Quadratic twists by: -4 8 -3 |