Atkin-Lehner |
2- 5- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17710j |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-34727478465006250 = -1 · 2 · 55 · 72 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15775,-9004865] |
[a1,a2,a3,a4,a6] |
j |
-434143733305791601/34727478465006250 |
j-invariant |
L |
6.487195691596 |
L(r)(E,1)/r! |
Ω |
0.1621798922899 |
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 |
88550v2 123970bi2 |
Quadratic twists by: 5 -7 |