Atkin-Lehner |
2+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
116200f |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1181463500000000 = -1 · 28 · 59 · 73 · 832 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -1 1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2967,1653563] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1750:1] [-53:1162:1] |
Generators of the group modulo torsion |
j |
721888256/295365875 |
j-invariant |
L |
13.996499241979 |
L(r)(E,1)/r! |
Ω |
0.37841740055198 |
Real period |
R |
0.38528055773296 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23240d1 |
Quadratic twists by: 5 |