Atkin-Lehner |
2+ 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990m |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
216447464742912000 = 216 · 39 · 53 · 134 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-159534,-9984812] |
[a1,a2,a3,a4,a6] |
j |
615967046154510049/296910102528000 |
j-invariant |
L |
1.5038858528359 |
L(r)(E,1)/r! |
Ω |
0.25064764245681 |
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 |
18330r1 |
Quadratic twists by: -3 |