Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bd |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
88833075516900 = 22 · 32 · 52 · 112 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11158,11156] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:5231:8] |
Generators of the group modulo torsion |
j |
31824875809/18404100 |
j-invariant |
L |
5.8151636467536 |
L(r)(E,1)/r! |
Ω |
0.51206566012363 |
Real period |
R |
2.8390712849347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000208 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290z2 |
Quadratic twists by: 13 |