Atkin-Lehner |
2- 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121040q |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
658457600000000 = 216 · 58 · 172 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125056,-17018700] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:34:1] |
Generators of the group modulo torsion |
j |
52805704010951809/160756250000 |
j-invariant |
L |
2.5512665384081 |
L(r)(E,1)/r! |
Ω |
0.25392333448024 |
Real period |
R |
2.5118473264924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997766412 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15130j2 |
Quadratic twists by: -4 |