Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016bo |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
480256 = 210 · 7 · 67 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 0 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29,61] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] |
Generators of the group modulo torsion |
j |
2725888/469 |
j-invariant |
L |
5.4321253985193 |
L(r)(E,1)/r! |
Ω |
2.8153540311514 |
Real period |
R |
0.96473220391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016n1 7504b1 |
Quadratic twists by: -4 8 |