Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850dc |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
246726562500 = 22 · 32 · 59 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8888,320892] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:814:1] |
Generators of the group modulo torsion |
j |
39756565997/126324 |
j-invariant |
L |
10.570569410376 |
L(r)(E,1)/r! |
Ω |
0.99068241351443 |
Real period |
R |
2.6674969864672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47850w1 |
Quadratic twists by: 5 |