Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680cn |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1625868288000 = 214 · 38 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215868,-38603792] |
[a1,a2,a3,a4,a6] |
Generators |
[190883:1265697:343] |
Generators of the group modulo torsion |
j |
93141032522704/136125 |
j-invariant |
L |
4.2119694437356 |
L(r)(E,1)/r! |
Ω |
0.22148918535846 |
Real period |
R |
9.5082959398647 |
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 |
31680v2 7920t2 10560cm2 |
Quadratic twists by: -4 8 -3 |