Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440eh |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-4125775500000000 = -1 · 28 · 37 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21432,-3317956] |
[a1,a2,a3,a4,a6] |
Generators |
[238:2250:1] |
Generators of the group modulo torsion |
j |
-5833703071744/22107421875 |
j-invariant |
L |
7.3459995810215 |
L(r)(E,1)/r! |
Ω |
0.18048046358643 |
Real period |
R |
0.56531200071038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13860v2 18480bk2 |
Quadratic twists by: -4 -3 |