Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688l |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
356278718844453888 = 210 · 33 · 714 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-575472,165748752] |
[a1,a2,a3,a4,a6] |
Generators |
[3008:160132:1] |
Generators of the group modulo torsion |
j |
174947951977348/2957342913 |
j-invariant |
L |
6.0946526928697 |
L(r)(E,1)/r! |
Ω |
0.30309083723336 |
Real period |
R |
5.0270842468337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344s3 6384m3 |
Quadratic twists by: -4 -7 |