Atkin-Lehner |
2- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57232i |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
197304071214989312 = 217 · 710 · 732 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192227,24404450] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:7154:1] |
Generators of the group modulo torsion |
j |
1630116669609/409437728 |
j-invariant |
L |
1.826120990664 |
L(r)(E,1)/r! |
Ω |
0.29797000117671 |
Real period |
R |
1.5321349326007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7154e2 8176b2 |
Quadratic twists by: -4 -7 |