Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fo |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
416013342474240000 = 226 · 35 · 54 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-360973921,-2639623937279] |
[a1,a2,a3,a4,a6] |
Generators |
[682090076890154370984:-150870083534697129128225:12139882471289789] |
Generators of the group modulo torsion |
j |
19843180007106582309156121/1586964960000 |
j-invariant |
L |
4.4680165999722 |
L(r)(E,1)/r! |
Ω |
0.034636228641312 |
Real period |
R |
32.249589487717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999544141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dv4 28560dt4 |
Quadratic twists by: -4 8 |