Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100dl |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-222305785632000 = -1 · 28 · 310 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5145,703150] |
[a1,a2,a3,a4,a6] |
Generators |
[14:882:1] |
Generators of the group modulo torsion |
j |
5488/81 |
j-invariant |
L |
6.407462709072 |
L(r)(E,1)/r! |
Ω |
0.41537305810784 |
Real period |
R |
1.9282252977174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bv2 44100dk2 900h2 |
Quadratic twists by: -3 5 -7 |