Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325s |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.8026477650794E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42666755,109209373872] |
[a1,a2,a3,a4,a6] |
Generators |
[-2566:450495:1] |
Generators of the group modulo torsion |
j |
-754127868744065783521/15825714261328125 |
j-invariant |
L |
3.1291682503514 |
L(r)(E,1)/r! |
Ω |
0.10128890294394 |
Real period |
R |
0.96542172914639 |
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 |
5775c6 3465i6 121275en5 |
Quadratic twists by: -3 5 -7 |