Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4928be |
Isogeny class |
Conductor |
4928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
194281472 = 215 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11+ 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5153,-140671] |
[a1,a2,a3,a4,a6] |
Generators |
[85:168:1] |
Generators of the group modulo torsion |
j |
461889917000/5929 |
j-invariant |
L |
5.194464544898 |
L(r)(E,1)/r! |
Ω |
0.5634791235942 |
Real period |
R |
2.304639305785 |
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 |
4928z2 2464i2 44352ep2 123200eg2 |
Quadratic twists by: -4 8 -3 5 |