Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720fd |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45954293760000 = 216 · 310 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1182252,-494781104] |
[a1,a2,a3,a4,a6] |
Generators |
[3122:162000:1] |
Generators of the group modulo torsion |
j |
3825131988299044/961875 |
j-invariant |
L |
6.2313321776731 |
L(r)(E,1)/r! |
Ω |
0.14478449207168 |
Real period |
R |
2.6899169623031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720by4 13680k3 18240co3 |
Quadratic twists by: -4 8 -3 |