Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
560d |
Isogeny class |
Conductor |
560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
501760000 = 214 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-283,1482] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:48:1] |
Generators of the group modulo torsion |
j |
611960049/122500 |
j-invariant |
L |
1.9245473164105 |
L(r)(E,1)/r! |
Ω |
1.5673707144402 |
Real period |
R |
1.2278826564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70a2 2240y2 5040bn2 2800o2 |
Quadratic twists by: -4 8 -3 5 |