Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760bq |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-553696000000000 = -1 · 214 · 59 · 113 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11+ 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9515,-1071117] |
[a1,a2,a3,a4,a6] |
Generators |
[86:625:1] |
Generators of the group modulo torsion |
j |
5814126903296/33794921875 |
j-invariant |
L |
3.6572915776668 |
L(r)(E,1)/r! |
Ω |
0.25979814817749 |
Real period |
R |
1.5641594588006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760w2 11440m2 |
Quadratic twists by: -4 8 |