Atkin-Lehner |
3- 7- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
127323j |
Isogeny class |
Conductor |
127323 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-3639999941361 = -1 · 37 · 77 · 43 · 47 |
Discriminant |
Eigenvalues |
-1 3- -3 7- -4 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3496,-46636] |
[a1,a2,a3,a4,a6] |
Generators |
[126:815:8] [126:1480:1] |
Generators of the group modulo torsion |
j |
6483759726023/4993141209 |
j-invariant |
L |
6.1142314019392 |
L(r)(E,1)/r! |
Ω |
0.43972366282596 |
Real period |
R |
0.49659689758652 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000020945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42441j1 |
Quadratic twists by: -3 |