Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450w |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
225124312500 = 22 · 310 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-292842,61068816] |
[a1,a2,a3,a4,a6] |
Generators |
[279:873:1] |
Generators of the group modulo torsion |
j |
243824355417817/19764 |
j-invariant |
L |
3.9989178937143 |
L(r)(E,1)/r! |
Ω |
0.75896172639676 |
Real period |
R |
0.65861652745974 |
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 |
9150y3 1098k4 |
Quadratic twists by: -3 5 |