Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280bz |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
35971205760000 = 210 · 34 · 54 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-499800,-136167552] |
[a1,a2,a3,a4,a6] |
Generators |
[1992:82320:1] |
Generators of the group modulo torsion |
j |
13483833457558312804/35128130625 |
j-invariant |
L |
5.708225051351 |
L(r)(E,1)/r! |
Ω |
0.17955623368665 |
Real period |
R |
3.9738421594658 |
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 |
28560bc4 114240p4 42840k4 71400h4 |
Quadratic twists by: -4 8 -3 5 |