Atkin-Lehner |
3- 7+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
17157f |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
29440 |
Modular degree for the optimal curve |
Δ |
773445606633 = 35 · 72 · 19 · 434 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5330,-144097] |
[a1,a2,a3,a4,a6] |
Generators |
[123:970:1] |
Generators of the group modulo torsion |
j |
16741262449423513/773445606633 |
j-invariant |
L |
7.8751455552856 |
L(r)(E,1)/r! |
Ω |
0.56036140639987 |
Real period |
R |
1.4053690110246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51471e1 120099k1 |
Quadratic twists by: -3 -7 |