Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392q |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5006520752688 = -1 · 24 · 33 · 74 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1239,109368] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:343:1] [-4:338:1] |
Generators of the group modulo torsion |
j |
-2725888/64827 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
56784v1 85176o1 168b1 |
Quadratic twists by: -4 -3 13 |