Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392q |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
44139121737984 = 28 · 36 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42644,3388644] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:1690:1] [-130:2592:1] |
Generators of the group modulo torsion |
j |
6940769488/35721 |
j-invariant |
L |
6.3234423097626 |
L(r)(E,1)/r! |
Ω |
0.64387083324972 |
Real period |
R |
2.4552448966539 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56784v2 85176o2 168b2 |
Quadratic twists by: -4 -3 13 |