Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
480f |
Isogeny class |
Conductor |
480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
16796160 = 29 · 38 · 5 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80,-168] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] |
Generators of the group modulo torsion |
j |
111980168/32805 |
j-invariant |
L |
1.683613641418 |
L(r)(E,1)/r! |
Ω |
1.6305286191794 |
Real period |
R |
2.0651138797739 |
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 |
480h3 960m3 1440e3 2400k2 |
Quadratic twists by: -4 8 -3 5 |