Atkin-Lehner |
11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20339a |
Isogeny class |
Conductor |
20339 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72240 |
Modular degree for the optimal curve |
Δ |
1414272233589721 = 112 · 438 |
Discriminant |
Eigenvalues |
1 -1 3 -1 11+ -3 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31471,1146272] |
[a1,a2,a3,a4,a6] |
Generators |
[9696:157864:27] |
Generators of the group modulo torsion |
j |
294937/121 |
j-invariant |
L |
5.2377559028102 |
L(r)(E,1)/r! |
Ω |
0.43474708050917 |
Real period |
R |
2.0079705103773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20339b1 |
Quadratic twists by: -43 |