Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016bi |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-53788672 = -1 · 214 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 0 -4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16,352] |
[a1,a2,a3,a4,a6] |
Generators |
[9:35:1] |
Generators of the group modulo torsion |
j |
27648/3283 |
j-invariant |
L |
5.3836703909176 |
L(r)(E,1)/r! |
Ω |
1.5305061897629 |
Real period |
R |
1.7587875262862 |
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 |
30016m1 7504a1 |
Quadratic twists by: -4 8 |