Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016bm |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
23532544 = 210 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117,-469] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] |
Generators of the group modulo torsion |
j |
174456832/22981 |
j-invariant |
L |
3.9809817178923 |
L(r)(E,1)/r! |
Ω |
1.4632052061158 |
Real period |
R |
1.3603634340736 |
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 |
30016s1 7504o1 |
Quadratic twists by: -4 8 |