Atkin-Lehner |
2+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
66368c |
Isogeny class |
Conductor |
66368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4195822389428224 = -1 · 220 · 172 · 614 |
Discriminant |
Eigenvalues |
2+ 2 2 2 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82977,-9685855] |
[a1,a2,a3,a4,a6] |
j |
-241025066403337/16005792196 |
j-invariant |
L |
5.0439437627919 |
L(r)(E,1)/r! |
Ω |
0.14010954929279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66368f2 2074a2 |
Quadratic twists by: -4 8 |