Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710bk |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-256051331952000 = -1 · 27 · 3 · 53 · 13 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 1 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9097,-692902] |
[a1,a2,a3,a4,a6] |
Generators |
[2062:33645:8] |
Generators of the group modulo torsion |
j |
3449795831/10608000 |
j-invariant |
L |
5.5253898870056 |
L(r)(E,1)/r! |
Ω |
0.28313472546055 |
Real period |
R |
3.2525092425751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630b1 |
Quadratic twists by: 17 |