Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760w |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
5.001992676E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4996083,-4284768782] |
[a1,a2,a3,a4,a6] |
Generators |
[-128617787977:-79187816358:95443993] |
Generators of the group modulo torsion |
j |
4618757595675440881/16751572265625 |
j-invariant |
L |
6.8606385842647 |
L(r)(E,1)/r! |
Ω |
0.10100360356936 |
Real period |
R |
16.98117280479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3735c1 19920s1 |
Quadratic twists by: -4 -3 |