Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880cu |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
120791502972518400 = 220 · 32 · 52 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-568760,-164438700] |
[a1,a2,a3,a4,a6] |
Generators |
[4588:306306:1] |
Generators of the group modulo torsion |
j |
4967657717692586041/29490113030400 |
j-invariant |
L |
8.0649579258864 |
L(r)(E,1)/r! |
Ω |
0.17390917848659 |
Real period |
R |
3.8645448906486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5610f2 |
Quadratic twists by: -4 |