Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240ds |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
20089295213690880 = 224 · 39 · 5 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2194668,1251396432] |
[a1,a2,a3,a4,a6] |
Generators |
[3504:191268:1] |
Generators of the group modulo torsion |
j |
226568219476347/3893440 |
j-invariant |
L |
7.6659776678301 |
L(r)(E,1)/r! |
Ω |
0.35296142340295 |
Real period |
R |
3.6198373530476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240g3 16560bg3 66240dz1 |
Quadratic twists by: -4 8 -3 |