Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298a |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
241640388 = 22 · 33 · 113 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-732,7772] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:130:1] |
Generators of the group modulo torsion |
j |
1207949625/6724 |
j-invariant |
L |
5.6839340990001 |
L(r)(E,1)/r! |
Ω |
1.7672623326961 |
Real period |
R |
0.80405919266171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89298bl2 89298bm2 |
Quadratic twists by: -3 -11 |