Atkin-Lehner |
2- 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570w |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
122982155366400 = 212 · 310 · 52 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-175177688,-892370047269] |
[a1,a2,a3,a4,a6] |
Generators |
[15311:113241:1] |
Generators of the group modulo torsion |
j |
815516123997553004685843001/168699801600 |
j-invariant |
L |
8.2735979841557 |
L(r)(E,1)/r! |
Ω |
0.041498257129732 |
Real period |
R |
8.3071741606401 |
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 |
14190e2 |
Quadratic twists by: -3 |