Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30272z |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-29324607488 = -1 · 217 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 0 0 0 11+ 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-460,-9072] |
[a1,a2,a3,a4,a6] |
Generators |
[802:22704:1] |
Generators of the group modulo torsion |
j |
-82127250/223729 |
j-invariant |
L |
5.585219429338 |
L(r)(E,1)/r! |
Ω |
0.47841226575567 |
Real period |
R |
2.9186226133416 |
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 |
30272j2 7568e2 |
Quadratic twists by: -4 8 |