Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760w |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
27 |
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 |
[-36:825:1] |
Generators of the group modulo torsion |
j |
5814126903296/33794921875 |
j-invariant |
L |
9.8305188020773 |
L(r)(E,1)/r! |
Ω |
0.37499033085012 |
Real period |
R |
0.97094047235822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760bq2 2860a2 |
Quadratic twists by: -4 8 |