Atkin-Lehner |
3+ 5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025w |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-119119966875 = -1 · 36 · 54 · 7 · 133 · 17 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -1 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1708,32418] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:202:1] [-33:227:1] |
Generators of the group modulo torsion |
j |
-882188800000/190591947 |
j-invariant |
L |
5.3728423591035 |
L(r)(E,1)/r! |
Ω |
1.0027538813451 |
Real period |
R |
0.29767149029752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116025bb1 |
Quadratic twists by: 5 |