Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600w |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
29811600000000 = 210 · 32 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91008,-10594512] |
[a1,a2,a3,a4,a6] |
Generators |
[-1630797:-408500:9261] |
Generators of the group modulo torsion |
j |
5210113839844/1863225 |
j-invariant |
L |
8.3677439155432 |
L(r)(E,1)/r! |
Ω |
0.27487711575558 |
Real period |
R |
7.6104406623115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200a2 10920m2 |
Quadratic twists by: -4 5 |