Atkin-Lehner |
2+ 3- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45240i |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-15902764800 = -1 · 28 · 3 · 52 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,500,4448] |
[a1,a2,a3,a4,a6] |
j |
53892071984/62120175 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
90480h1 |
Quadratic twists by: -4 |