Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720p |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
224064973440000 = 210 · 310 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18507,-648394] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:560:1] |
Generators of the group modulo torsion |
j |
939083699236/300155625 |
j-invariant |
L |
5.5163543880777 |
L(r)(E,1)/r! |
Ω |
0.41966820476392 |
Real period |
R |
1.6430701460874 |
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 |
55440bs2 9240q2 |
Quadratic twists by: -4 -3 |