Atkin-Lehner |
2- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
66368f |
Isogeny class |
Conductor |
66368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
181248 |
Modular degree for the optimal curve |
Δ |
265319088128 = 222 · 17 · 612 |
Discriminant |
Eigenvalues |
2- -2 2 -2 -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84257,9385567] |
[a1,a2,a3,a4,a6] |
Generators |
[1319:46848:1] |
Generators of the group modulo torsion |
j |
252352098250057/1012112 |
j-invariant |
L |
3.9674680031165 |
L(r)(E,1)/r! |
Ω |
0.86227575309236 |
Real period |
R |
2.300579593926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66368c1 16592c1 |
Quadratic twists by: -4 8 |