Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600bo |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
-1.0069833350088E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4048367,3672888863] |
[a1,a2,a3,a4,a6] |
Generators |
[-607:31500:1] |
Generators of the group modulo torsion |
j |
114652428754998464/157341146095125 |
j-invariant |
L |
8.0702031665052 |
L(r)(E,1)/r! |
Ω |
0.086978600575172 |
Real period |
R |
2.31959445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999847 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45600f2 91200s1 9120d4 |
Quadratic twists by: -4 8 5 |