Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17220k |
Isogeny class |
Conductor |
17220 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-562625753760000 = -1 · 28 · 36 · 54 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76956,8270244] |
[a1,a2,a3,a4,a6] |
j |
-196886912277198544/2197756850625 |
j-invariant |
L |
3.1214192287036 |
L(r)(E,1)/r! |
Ω |
0.52023653811726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
68880be2 51660s2 86100a2 120540t2 |
Quadratic twists by: -4 -3 5 -7 |