Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
560d |
Isogeny class |
Conductor |
560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
491724800 = 213 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4283,107882] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:392:1] |
Generators of the group modulo torsion |
j |
2121328796049/120050 |
j-invariant |
L |
1.9245473164105 |
L(r)(E,1)/r! |
Ω |
1.5673707144402 |
Real period |
R |
0.61394132820002 |
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 |
70a3 2240y4 5040bn3 2800o4 |
Quadratic twists by: -4 8 -3 5 |