Atkin-Lehner |
2+ 3+ 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990f |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-13319843984179200 = -1 · 218 · 39 · 52 · 133 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-115089,-15992227] |
[a1,a2,a3,a4,a6] |
Generators |
[397:679:1] [722:-17001:1] |
Generators of the group modulo torsion |
j |
-8565170091964227/676718182400 |
j-invariant |
L |
7.5581139557744 |
L(r)(E,1)/r! |
Ω |
0.12901731864198 |
Real period |
R |
2.4409235762996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54990bb1 |
Quadratic twists by: -3 |