Atkin-Lehner |
2- 3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450cn |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
1900264859564544000 = 212 · 314 · 53 · 114 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5761448,5321973312] |
[a1,a2,a3,a4,a6] |
Generators |
[1648:-18248:1] |
Generators of the group modulo torsion |
j |
169203227711384578959701/15202118876516352 |
j-invariant |
L |
14.517066649397 |
L(r)(E,1)/r! |
Ω |
0.25163830417664 |
Real period |
R |
0.34339410796759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87450k2 |
Quadratic twists by: 5 |