Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240bu |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3198660710400 = 212 · 310 · 52 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5268,-119392] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:160:1] |
Generators of the group modulo torsion |
j |
5414689216/1071225 |
j-invariant |
L |
5.1844586916709 |
L(r)(E,1)/r! |
Ω |
0.56812851721481 |
Real period |
R |
2.2813758396043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996423 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66240bc2 33120s1 22080n2 |
Quadratic twists by: -4 8 -3 |