Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
51744bn |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
375693728256 = 29 · 34 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40392,-3137940] |
[a1,a2,a3,a4,a6] |
Generators |
[17868963:780672950:9261] |
Generators of the group modulo torsion |
j |
120993582536/6237 |
j-invariant |
L |
9.2358407197101 |
L(r)(E,1)/r! |
Ω |
0.33676439020246 |
Real period |
R |
13.712614796063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744u4 103488gm4 7392b3 |
Quadratic twists by: -4 8 -7 |