Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688n |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3.3658716435904E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -2 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3673452,2695526080] |
[a1,a2,a3,a4,a6] |
Generators |
[942:8428:1] |
Generators of the group modulo torsion |
j |
1835943635853411904/11272236032043 |
j-invariant |
L |
5.0579405962373 |
L(r)(E,1)/r! |
Ω |
0.20828272484498 |
Real period |
R |
1.0118339159377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688x2 28896r2 |
Quadratic twists by: -4 -3 |