Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30272z |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
30998528 = 216 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 0 0 0 11+ 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-620,-5936] |
[a1,a2,a3,a4,a6] |
Generators |
[5430:76384:27] |
Generators of the group modulo torsion |
j |
402178500/473 |
j-invariant |
L |
5.585219429338 |
L(r)(E,1)/r! |
Ω |
0.95682453151135 |
Real period |
R |
5.8372452266831 |
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 |
30272j1 7568e1 |
Quadratic twists by: -4 8 |