Atkin-Lehner |
2+ 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384t |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
21430272 |
Modular degree for the optimal curve |
Δ |
1.3496757690643E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-182754066,949286145481] |
[a1,a2,a3,a4,a6] |
Generators |
[12161116:273587139:1331] |
Generators of the group modulo torsion |
j |
57873179869926460658341888/115712943163950039453 |
j-invariant |
L |
4.5945201187856 |
L(r)(E,1)/r! |
Ω |
0.085758546153871 |
Real period |
R |
6.6968837800181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128bd1 |
Quadratic twists by: -3 |