Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100cs |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8472320496864000 = 28 · 38 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-735735,242861150] |
[a1,a2,a3,a4,a6] |
Generators |
[17042:730701:8] |
Generators of the group modulo torsion |
j |
46787312/9 |
j-invariant |
L |
6.3173285530829 |
L(r)(E,1)/r! |
Ω |
0.40119850204783 |
Real period |
R |
7.8730709621762 |
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 |
14700o2 44100cu2 44100cv2 |
Quadratic twists by: -3 5 -7 |