Atkin-Lehner |
2- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
41272o |
Isogeny class |
Conductor |
41272 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-47694583552 = -1 · 28 · 73 · 112 · 672 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-868,14112] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:74:1] [-14:154:1] |
Generators of the group modulo torsion |
j |
-282841522000/186306967 |
j-invariant |
L |
6.5901304021093 |
L(r)(E,1)/r! |
Ω |
1.0449055781774 |
Real period |
R |
0.52557622906656 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82544g1 |
Quadratic twists by: -4 |