Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450u |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
11204967427632000 = 27 · 33 · 53 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- 7 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-178437,-28516779] |
[a1,a2,a3,a4,a6] |
Generators |
[1269:41643:1] |
Generators of the group modulo torsion |
j |
7177599/128 |
j-invariant |
L |
5.550361622238 |
L(r)(E,1)/r! |
Ω |
0.23254030731883 |
Real period |
R |
5.9670962920247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450en1 54450ep1 54450eq1 |
Quadratic twists by: -3 5 -11 |