Atkin-Lehner |
3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2277b |
Isogeny class |
Conductor |
2277 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
457339760361 = 310 · 114 · 232 |
Discriminant |
Eigenvalues |
1 3- 2 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3366,68607] |
[a1,a2,a3,a4,a6] |
Generators |
[486:2097:8] |
Generators of the group modulo torsion |
j |
5786435182177/627352209 |
j-invariant |
L |
4.0485242827885 |
L(r)(E,1)/r! |
Ω |
0.90838878132578 |
Real period |
R |
4.4568188929851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36432cb2 759b2 56925m2 111573bd2 |
Quadratic twists by: -4 -3 5 -7 |