Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ei |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13011038208 = -1 · 212 · 33 · 76 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,588,0] |
[a1,a2,a3,a4,a6] |
Generators |
[21:147:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
3.4484202369382 |
L(r)(E,1)/r! |
Ω |
0.75303105445002 |
Real period |
R |
1.1448466223803 |
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 |
28224ei2 14112i1 28224eg2 576f2 |
Quadratic twists by: -4 8 -3 -7 |