Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3080d |
Isogeny class |
Conductor |
3080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
344960000 = 210 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,-176] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:28:1] |
Generators of the group modulo torsion |
j |
592143556/336875 |
j-invariant |
L |
2.163086052776 |
L(r)(E,1)/r! |
Ω |
1.4159501512063 |
Real period |
R |
0.76382846208716 |
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 |
6160b2 24640t2 27720m2 15400e2 |
Quadratic twists by: -4 8 -3 5 |