Atkin-Lehner |
3- 7+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
17157f |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
94634353664361 = 310 · 74 · 192 · 432 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14575,488261] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:1115:1] |
Generators of the group modulo torsion |
j |
342378565675213033/94634353664361 |
j-invariant |
L |
7.8751455552856 |
L(r)(E,1)/r! |
Ω |
0.56036140639987 |
Real period |
R |
2.8107380220493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51471e2 120099k2 |
Quadratic twists by: -3 -7 |