Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600w |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
43680000000 = 211 · 3 · 57 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1456008,-676714512] |
[a1,a2,a3,a4,a6] |
Generators |
[-513205870191:-197875196:736314327] |
Generators of the group modulo torsion |
j |
10667565439614722/1365 |
j-invariant |
L |
8.3677439155432 |
L(r)(E,1)/r! |
Ω |
0.13743855787779 |
Real period |
R |
15.220881324623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200a4 10920m3 |
Quadratic twists by: -4 5 |