Atkin-Lehner |
2+ 3- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110n |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11494064924100 = 22 · 36 · 52 · 116 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15840,-745844] |
[a1,a2,a3,a4,a6] |
Generators |
[218:2366:1] |
Generators of the group modulo torsion |
j |
602944222256641/15766892900 |
j-invariant |
L |
5.8312908854489 |
L(r)(E,1)/r! |
Ω |
0.42623827675849 |
Real period |
R |
3.4202060258809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790p2 |
Quadratic twists by: -3 |