Atkin-Lehner |
2+ 3- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110l |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
411599873520 = 24 · 310 · 5 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42390,-3348540] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:69:1] |
Generators of the group modulo torsion |
j |
11555591916889441/564608880 |
j-invariant |
L |
4.0657552836832 |
L(r)(E,1)/r! |
Ω |
0.33272427967406 |
Real period |
R |
3.0548982484383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370bo2 |
Quadratic twists by: -3 |