Atkin-Lehner |
3- 5+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59985i |
Isogeny class |
Conductor |
59985 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-444835052490234375 = -1 · 37 · 516 · 31 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,118710,27932431] |
[a1,a2,a3,a4,a6] |
Generators |
[13071942676:-18276947299463:3429288512] |
Generators of the group modulo torsion |
j |
253779209866424159/610198974609375 |
j-invariant |
L |
5.5150560543596 |
L(r)(E,1)/r! |
Ω |
0.20719076779924 |
Real period |
R |
13.309125963377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19995e4 |
Quadratic twists by: -3 |