Atkin-Lehner |
5- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76585c |
Isogeny class |
Conductor |
76585 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
159911394625 = 53 · 176 · 53 |
Discriminant |
Eigenvalues |
-1 0 5- -2 0 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39792,3065066] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:2254:1] [51:1054:1] |
Generators of the group modulo torsion |
j |
288673724529/6625 |
j-invariant |
L |
6.3748056612467 |
L(r)(E,1)/r! |
Ω |
0.9463168160187 |
Real period |
R |
4.4909594428013 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
265a1 |
Quadratic twists by: 17 |