Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040ch |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.5608052653037E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70155150843,-7152162991285642] |
[a1,a2,a3,a4,a6] |
Generators |
[942882174044247590667449495597478355363699988477915805312483409390880917458222238862042466327399110148909186530257103980515696178273905884741917676270:575126477638664285522620162749003915613251723799777568569992244233363871415581115877945335959233981427349803071581141342330665327261690471041943330633706:1779300198969136480002338981767406951940370111870480708855699090457652679444005517880816728470284580152747168790328825443055767512264206047843625] |
Generators of the group modulo torsion |
j |
1059623036730633329075378/154307373046875 |
j-invariant |
L |
8.6098310892078 |
L(r)(E,1)/r! |
Ω |
0.0092765110830576 |
Real period |
R |
232.03311600987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680l4 6120z3 |
Quadratic twists by: -3 17 |