Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400d |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9225000000000000 = -1 · 212 · 32 · 514 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28367,-4248863] |
[a1,a2,a3,a4,a6] |
j |
39442883264/144140625 |
j-invariant |
L |
3.3387138138785 |
L(r)(E,1)/r! |
Ω |
0.20866962140278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400w2 19680bd4 |
Quadratic twists by: -4 5 |