Atkin-Lehner |
2- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550x |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
2.481478762496E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19891688,-34140483008] |
[a1,a2,a3,a4,a6] |
Generators |
[-2544:2264:1] |
Generators of the group modulo torsion |
j |
55708132985430874324921/15881464079974400 |
j-invariant |
L |
5.9998930326246 |
L(r)(E,1)/r! |
Ω |
0.071488975754126 |
Real period |
R |
0.87424508604796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710h1 |
Quadratic twists by: 5 |