Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680m |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
108391219200 = 214 · 37 · 52 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14268,655792] |
[a1,a2,a3,a4,a6] |
Generators |
[2:792:1] [56:180:1] |
Generators of the group modulo torsion |
j |
26894628304/9075 |
j-invariant |
L |
7.6369339793963 |
L(r)(E,1)/r! |
Ω |
1.0360302428807 |
Real period |
R |
0.46070891944727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680cv2 1980e2 10560bd2 |
Quadratic twists by: -4 8 -3 |