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 |
-50565060000000000 = -1 · 211 · 34 · 510 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78008,-13714512] |
[a1,a2,a3,a4,a6] |
Generators |
[10843:1128750:1] |
Generators of the group modulo torsion |
j |
-1640577425762/1580158125 |
j-invariant |
L |
8.3677439155432 |
L(r)(E,1)/r! |
Ω |
0.13743855787779 |
Real period |
R |
3.8052203311558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200a3 10920m4 |
Quadratic twists by: -4 5 |