Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111328v |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
183366790208 = 26 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 0 2 7- 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7889,268912] |
[a1,a2,a3,a4,a6] |
Generators |
[31143:188224:343] |
Generators of the group modulo torsion |
j |
21024576/71 |
j-invariant |
L |
7.9964554575244 |
L(r)(E,1)/r! |
Ω |
1.0157461869309 |
Real period |
R |
7.8724936671814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111328ba1 111328w1 |
Quadratic twists by: -4 -7 |