Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224di |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2371261713408 = -1 · 210 · 39 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-74088] |
[a1,a2,a3,a4,a6] |
Generators |
[217:3185:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.3246991882118 |
L(r)(E,1)/r! |
Ω |
0.37474893085666 |
Real period |
R |
3.55217770471 |
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 |
28224i3 7056bf3 28224di1 576e3 |
Quadratic twists by: -4 8 -3 -7 |