Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4928bb |
Isogeny class |
Conductor |
4928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
609266696192 = 221 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-330476,73123664] |
[a1,a2,a3,a4,a6] |
Generators |
[-550:9408:1] |
Generators of the group modulo torsion |
j |
15226621995131793/2324168 |
j-invariant |
L |
3.2359716692061 |
L(r)(E,1)/r! |
Ω |
0.71630801875515 |
Real period |
R |
2.2587850369383 |
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 |
4928h3 1232j4 44352ew4 123200dx4 |
Quadratic twists by: -4 8 -3 5 |