Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bg |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
475886171618958672 = 24 · 36 · 1112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-928889573,-10896371582556] |
[a1,a2,a3,a4,a6] |
Generators |
[-243079325405487199436198097065567050908483179498723883293600544202296188805675716525043276757893397444187602479345337900729651671540:71905382247172565359457853918467570275240083689677353619966137001414938174084654214184097871246687551268808217537741410834480037:13814505800768027271548130111238885338322049361950364073473678602827912274450962172330889922516621227668617161996184409181944000] |
Generators of the group modulo torsion |
j |
3127086412733145284608000/16789083597 |
j-invariant |
L |
5.3823003648961 |
L(r)(E,1)/r! |
Ω |
0.027346927084786 |
Real period |
R |
196.81554524239 |
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 |
18876i3 6864p3 |
Quadratic twists by: -4 -11 |