Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800b |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-156108849152000000 = -1 · 226 · 56 · 533 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 0 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39364833,-95075953537] |
[a1,a2,a3,a4,a6] |
Generators |
[6052983926401329632652557764374534601352069527756677:4652027314797905975691070859844409927166154156566288800:10246501130240682592734787097237654629350531789] |
Generators of the group modulo torsion |
j |
-1646982616152408625/38112512 |
j-invariant |
L |
9.8391369678355 |
L(r)(E,1)/r! |
Ω |
0.030136475119129 |
Real period |
R |
81.621497943451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800bo2 2650b2 3392g2 |
Quadratic twists by: -4 8 5 |