Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016cd |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
23532544 = 210 · 73 · 67 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -4 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38344,2889976] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:112:1] [113:-1:1] |
Generators of the group modulo torsion |
j |
6088579813251072/22981 |
j-invariant |
L |
4.3136399009267 |
L(r)(E,1)/r! |
Ω |
1.4282255226827 |
Real period |
R |
0.50337987388498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016f1 7504j1 |
Quadratic twists by: -4 8 |