Atkin-Lehner |
2+ 3- 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39606g |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-10143243617472 = -1 · 26 · 33 · 7 · 233 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9661,-397096] |
[a1,a2,a3,a4,a6] |
Generators |
[211:2534:1] |
Generators of the group modulo torsion |
j |
-99706928153127625/10143243617472 |
j-invariant |
L |
5.4896042329478 |
L(r)(E,1)/r! |
Ω |
0.23940015508663 |
Real period |
R |
3.8217771349957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118818bn2 |
Quadratic twists by: -3 |