Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
93060s |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56639445787964160 = 28 · 312 · 5 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8219127,-9069561794] |
[a1,a2,a3,a4,a6] |
Generators |
[3149604833987443480:-14229056346384098349:948818877023744] |
Generators of the group modulo torsion |
j |
329028328980050845264/303494972715 |
j-invariant |
L |
5.4219894277725 |
L(r)(E,1)/r! |
Ω |
0.089164741725989 |
Real period |
R |
30.404335479732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020k2 |
Quadratic twists by: -3 |