Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440eb |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2489610816000000 = 212 · 38 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35787,1013434] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:1080:1] [-147:1760:1] |
Generators of the group modulo torsion |
j |
1697509118089/833765625 |
j-invariant |
L |
10.161510301241 |
L(r)(E,1)/r! |
Ω |
0.406351389568 |
Real period |
R |
1.0419461417418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3465t2 18480cq2 |
Quadratic twists by: -4 -3 |