Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4928a |
Isogeny class |
Conductor |
4928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
17661952 = 215 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11+ 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-460,-3792] |
[a1,a2,a3,a4,a6] |
Generators |
[52:336:1] |
Generators of the group modulo torsion |
j |
328509000/539 |
j-invariant |
L |
3.5792182864716 |
L(r)(E,1)/r! |
Ω |
1.0309863022581 |
Real period |
R |
3.4716448498222 |
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 |
4928l2 2464c2 44352be2 123200bi2 |
Quadratic twists by: -4 8 -3 5 |