Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200bg |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
24681024000 = 29 · 36 · 53 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28168,-1829032] |
[a1,a2,a3,a4,a6] |
Generators |
[278:3450:1] |
Generators of the group modulo torsion |
j |
38621327045608/385641 |
j-invariant |
L |
8.6075140216832 |
L(r)(E,1)/r! |
Ω |
0.36851869708783 |
Real period |
R |
1.9464218255715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200t2 110400ha2 55200cb2 |
Quadratic twists by: -4 8 5 |