Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240ek |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-163487102976000 = -1 · 214 · 38 · 53 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49728,-4312352] |
[a1,a2,a3,a4,a6] |
Generators |
[2844316101403:-91511223525765:2622362939] |
Generators of the group modulo torsion |
j |
-1138621087744/13687875 |
j-invariant |
L |
6.5367971128392 |
L(r)(E,1)/r! |
Ω |
0.15973806405319 |
Real period |
R |
20.460987653709 |
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 |
66240bw2 16560bt2 22080da2 |
Quadratic twists by: -4 8 -3 |