Atkin-Lehner |
2+ 3- 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19866g |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
367958052 = 22 · 34 · 74 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-766,-8164] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:11:1] |
Generators of the group modulo torsion |
j |
49612916193625/367958052 |
j-invariant |
L |
4.151013322114 |
L(r)(E,1)/r! |
Ω |
0.90803894110303 |
Real period |
R |
1.1428511306662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59598v1 |
Quadratic twists by: -3 |