Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392q |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
934161306624 = 210 · 33 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-681464,216754524] |
[a1,a2,a3,a4,a6] |
Generators |
[478:40:1] [1053:25800:1] |
Generators of the group modulo torsion |
j |
7080974546692/189 |
j-invariant |
L |
6.3234423097626 |
L(r)(E,1)/r! |
Ω |
0.64387083324972 |
Real period |
R |
9.8209795866155 |
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 |
56784v4 85176o4 168b4 |
Quadratic twists by: -4 -3 13 |