Atkin-Lehner |
2+ 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384ba |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
5149383902208 = 210 · 36 · 74 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122139,-16429338] |
[a1,a2,a3,a4,a6] |
j |
269935066988388/6898073 |
j-invariant |
L |
2.0430390714517 |
L(r)(E,1)/r! |
Ω |
0.25537985179592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12376n1 |
Quadratic twists by: -3 |