Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640ba |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4238943317504000 = 212 · 53 · 73 · 176 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63203,-5252702] |
[a1,a2,a3,a4,a6] |
Generators |
[8517:67222:27] |
Generators of the group modulo torsion |
j |
19873882747503/3017196125 |
j-invariant |
L |
4.6395528448508 |
L(r)(E,1)/r! |
Ω |
0.3041710360726 |
Real period |
R |
7.6265526528891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4165d2 66640cj2 |
Quadratic twists by: -4 -7 |