Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240ej |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
111257763840000 = 217 · 310 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38028,2808848] |
[a1,a2,a3,a4,a6] |
Generators |
[178:-1296:1] |
Generators of the group modulo torsion |
j |
63649751618/1164375 |
j-invariant |
L |
4.5936946406218 |
L(r)(E,1)/r! |
Ω |
0.59348686065405 |
Real period |
R |
0.96752239705348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240bt4 16560r3 22080ch4 |
Quadratic twists by: -4 8 -3 |