Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560bj |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
2943037789009920 = 211 · 35 · 5 · 72 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40376,-1727820] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:714:1] |
Generators of the group modulo torsion |
j |
3554466219659378/1437030170415 |
j-invariant |
L |
5.2541761005858 |
L(r)(E,1)/r! |
Ω |
0.3488538421728 |
Real period |
R |
0.5020417784767 |
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 |
14280f2 114240he2 85680bp2 |
Quadratic twists by: -4 8 -3 |