Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
51744bf |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13769699328 = 212 · 34 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4433,111999] |
[a1,a2,a3,a4,a6] |
Generators |
[25:132:1] |
Generators of the group modulo torsion |
j |
6859000000/9801 |
j-invariant |
L |
7.6897571928505 |
L(r)(E,1)/r! |
Ω |
1.2532551890688 |
Real period |
R |
0.76697839154326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744o2 103488fw1 51744e2 |
Quadratic twists by: -4 8 -7 |