Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744cs |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-65597317632 = -1 · 29 · 32 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-12328] |
[a1,a2,a3,a4,a6] |
Generators |
[3698:224910:1] |
Generators of the group modulo torsion |
j |
-8/1089 |
j-invariant |
L |
10.137753944401 |
L(r)(E,1)/r! |
Ω |
0.50375162685078 |
Real period |
R |
5.0311271487883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744m2 103488bk2 1056h2 |
Quadratic twists by: -4 8 -7 |