Atkin-Lehner |
2- 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1656d |
Isogeny class |
Conductor |
1656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
863638391808 = 210 · 313 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-419835,-104704666] |
[a1,a2,a3,a4,a6] |
Generators |
[13315:1534572:1] |
Generators of the group modulo torsion |
j |
10963069081334500/1156923 |
j-invariant |
L |
2.7705785215064 |
L(r)(E,1)/r! |
Ω |
0.18755554012995 |
Real period |
R |
7.3860215475018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3312d2 13248d2 552b2 41400l2 |
Quadratic twists by: -4 8 -3 5 |