Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bd |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
744147840291570 = 2 · 34 · 5 · 114 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-121008,-16158764] |
[a1,a2,a3,a4,a6] |
Generators |
[25748:23031:64] |
Generators of the group modulo torsion |
j |
40597630665409/154169730 |
j-invariant |
L |
5.8151636467536 |
L(r)(E,1)/r! |
Ω |
0.25603283006181 |
Real period |
R |
5.6781425698693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290z3 |
Quadratic twists by: 13 |