Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13328o |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
139266297856 = 212 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4459,-113190] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1170:1] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
5.1639100948877 |
L(r)(E,1)/r! |
Ω |
0.58474118375419 |
Real period |
R |
4.4155519042921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
833a2 53312bt2 119952go2 272b2 |
Quadratic twists by: -4 8 -3 -7 |