Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4928bc |
Isogeny class |
Conductor |
4928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-14210301952 = -1 · 224 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 0 4 7- 11+ -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1868,-31600] |
[a1,a2,a3,a4,a6] |
Generators |
[12850:1456640:1] |
Generators of the group modulo torsion |
j |
-2749884201/54208 |
j-invariant |
L |
4.6015386135097 |
L(r)(E,1)/r! |
Ω |
0.3626752864322 |
Real period |
R |
6.3438822352319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4928i1 1232k1 44352fd1 123200dy1 |
Quadratic twists by: -4 8 -3 5 |