Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360by |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
373597223076000000 = 28 · 38 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196996,16298204] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:6468:1] |
Generators of the group modulo torsion |
j |
28071778927696/12404390625 |
j-invariant |
L |
9.5100250790761 |
L(r)(E,1)/r! |
Ω |
0.27114024591048 |
Real period |
R |
2.1921370004543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003482 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64680bn2 2640e2 |
Quadratic twists by: -4 -7 |