Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325u |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
63299605359375 = 314 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1016780,394882472] |
[a1,a2,a3,a4,a6] |
Generators |
[589:-20:1] |
Generators of the group modulo torsion |
j |
10206027697760497/5557167 |
j-invariant |
L |
2.7611195492184 |
L(r)(E,1)/r! |
Ω |
0.5104196276695 |
Real period |
R |
1.3523772399904 |
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 |
5775n5 693d5 121275eq6 |
Quadratic twists by: -3 5 -7 |