Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bw |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
364024834749257472 = 28 · 314 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-624668,-187591620] |
[a1,a2,a3,a4,a6] |
Generators |
[-228664:-743869:512] |
Generators of the group modulo torsion |
j |
895043160898000/12086562663 |
j-invariant |
L |
4.1177806008777 |
L(r)(E,1)/r! |
Ω |
0.16995819455468 |
Real period |
R |
6.0570492227111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172s2 6384bf2 |
Quadratic twists by: -4 -7 |