Atkin-Lehner |
2+ 3- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45240i |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
818663040000 = 210 · 32 · 54 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2880,39600] |
[a1,a2,a3,a4,a6] |
j |
2580786074884/799475625 |
j-invariant |
L |
3.3069632714029 |
L(r)(E,1)/r! |
Ω |
0.82674081778326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90480h2 |
Quadratic twists by: -4 |