Atkin-Lehner |
2- 3+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624o |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7023775858163712 = -1 · 217 · 34 · 174 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74432,8819712] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:3870:1] |
Generators of the group modulo torsion |
j |
-11133934577019073/1714789027872 |
j-invariant |
L |
6.5984851896821 |
L(r)(E,1)/r! |
Ω |
0.40520882379736 |
Real period |
R |
4.0710399192554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078h2 |
Quadratic twists by: -4 |