Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28644r |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-1118578906368 = -1 · 28 · 310 · 7 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2100,62244] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-162:1] |
Generators of the group modulo torsion |
j |
-4002657422416/4369448853 |
j-invariant |
L |
5.1358506947279 |
L(r)(E,1)/r! |
Ω |
0.78994375412237 |
Real period |
R |
0.4334359813954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114576bd2 85932bn2 |
Quadratic twists by: -4 -3 |