Atkin-Lehner |
5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39715m |
Isogeny class |
Conductor |
39715 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-4867299516904296875 = -1 · 510 · 139 · 47 |
Discriminant |
Eigenvalues |
1 0 5- -4 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,407681,-35154300] |
[a1,a2,a3,a4,a6] |
Generators |
[792554:-28731277:2744] |
Generators of the group modulo torsion |
j |
706633718643/458984375 |
j-invariant |
L |
5.6209408170171 |
L(r)(E,1)/r! |
Ω |
0.13907747237865 |
Real period |
R |
8.0831794263725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39715g2 |
Quadratic twists by: 13 |