Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120ba |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-5073024880 = -1 · 24 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1486,-21825] |
[a1,a2,a3,a4,a6] |
Generators |
[41907883972941:-1510909715595447:32187778741] |
Generators of the group modulo torsion |
j |
-3937024/55 |
j-invariant |
L |
8.9572796453821 |
L(r)(E,1)/r! |
Ω |
0.38413126582364 |
Real period |
R |
23.318278001079 |
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 |
10780b1 43120cw1 |
Quadratic twists by: -4 -7 |