Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680bo |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2052864000000 = 214 · 36 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3612,47216] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:360:1] |
Generators of the group modulo torsion |
j |
436334416/171875 |
j-invariant |
L |
5.3986261242026 |
L(r)(E,1)/r! |
Ω |
0.75221303788956 |
Real period |
R |
0.59808257460204 |
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 |
31680ee2 1980b2 3520g2 |
Quadratic twists by: -4 8 -3 |