Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ex |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1664029163520 = 217 · 310 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-330348,73081168] |
[a1,a2,a3,a4,a6] |
Generators |
[381:1589:1] |
Generators of the group modulo torsion |
j |
41725476313778/17415 |
j-invariant |
L |
6.57003294476 |
L(r)(E,1)/r! |
Ω |
0.68449632396826 |
Real period |
R |
4.7991733437151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998798197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ci4 30960p4 41280dj4 |
Quadratic twists by: -4 8 -3 |