Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016bj |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
491782144 = 220 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 2 7 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,671] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:44:1] |
Generators of the group modulo torsion |
j |
4826809/1876 |
j-invariant |
L |
7.1571210333566 |
L(r)(E,1)/r! |
Ω |
1.508544200957 |
Real period |
R |
2.3721946724584 |
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 |
30016p1 7504n1 |
Quadratic twists by: -4 8 |