Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296w |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
2914526616216403968 = 234 · 310 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -2 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-655500,-187029776] |
[a1,a2,a3,a4,a6] |
Generators |
[-2137580:19533384:4913] |
Generators of the group modulo torsion |
j |
162995025390625/15251079168 |
j-invariant |
L |
6.0107862082292 |
L(r)(E,1)/r! |
Ω |
0.16879257610014 |
Real period |
R |
8.9026223177423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999800291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296cp1 3978a1 42432bf1 |
Quadratic twists by: -4 8 -3 |