Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304bh |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
130310208 = 26 · 37 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129,128] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:16:1] |
Generators of the group modulo torsion |
j |
5088448/2793 |
j-invariant |
L |
6.9414587491644 |
L(r)(E,1)/r! |
Ω |
1.6092450662301 |
Real period |
R |
2.1567438343699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bp1 76608ek1 12768b1 |
Quadratic twists by: -4 8 -3 |