Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240dx |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
16659691200 = 26 · 39 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107,-12744] |
[a1,a2,a3,a4,a6] |
Generators |
[-1052:2035:64] |
Generators of the group modulo torsion |
j |
119095488/13225 |
j-invariant |
L |
8.5334138307351 |
L(r)(E,1)/r! |
Ω |
0.83365094667912 |
Real period |
R |
5.1180976068941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ea1 33120w2 66240dr1 |
Quadratic twists by: -4 8 -3 |