Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400cq |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5313600000000 = -1 · 212 · 34 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3967,-53937] |
[a1,a2,a3,a4,a6] |
j |
107850176/83025 |
j-invariant |
L |
3.4087688468943 |
L(r)(E,1)/r! |
Ω |
0.42609608732397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400n2 19680e2 |
Quadratic twists by: -4 5 |