Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040el |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2341011456000 = -1 · 219 · 36 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2081,82881] |
[a1,a2,a3,a4,a6] |
Generators |
[23:216:1] |
Generators of the group modulo torsion |
j |
-77626969/182250 |
j-invariant |
L |
5.2310385894604 |
L(r)(E,1)/r! |
Ω |
0.72486426988652 |
Real period |
R |
1.8041441711177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040cl1 11760cs1 47040gp1 |
Quadratic twists by: -4 8 -7 |