Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224dl |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-31239502737408 = -1 · 212 · 33 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8820,-417088] |
[a1,a2,a3,a4,a6] |
Generators |
[8204:743036:1] |
Generators of the group modulo torsion |
j |
-5832000/2401 |
j-invariant |
L |
6.1618469002499 |
L(r)(E,1)/r! |
Ω |
0.24144297677996 |
Real period |
R |
6.380230005474 |
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 |
28224dn2 14112bi1 28224do2 4032v2 |
Quadratic twists by: -4 8 -3 -7 |