Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325t |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3837216796875 = 36 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12380,-518628] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:120:1] |
Generators of the group modulo torsion |
j |
18420660721/336875 |
j-invariant |
L |
2.4372015457267 |
L(r)(E,1)/r! |
Ω |
0.45311066927062 |
Real period |
R |
1.3447054500228 |
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 |
1925c2 3465j2 121275ep2 |
Quadratic twists by: -3 5 -7 |