Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bb |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
989106714344448 = 210 · 32 · 77 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71752,-7265308] |
[a1,a2,a3,a4,a6] |
Generators |
[-19205:49302:125] |
Generators of the group modulo torsion |
j |
339112345828/8210223 |
j-invariant |
L |
8.8099158752644 |
L(r)(E,1)/r! |
Ω |
0.29213347537856 |
Real period |
R |
7.5392899289013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344i3 6384c4 |
Quadratic twists by: -4 -7 |