Atkin-Lehner |
3+ 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11739f |
Isogeny class |
Conductor |
11739 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
933332673 = 3 · 7 · 13 · 434 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1494,21567] |
[a1,a2,a3,a4,a6] |
Generators |
[688390:17705743:1000] |
Generators of the group modulo torsion |
j |
369172746312553/933332673 |
j-invariant |
L |
5.8087756533976 |
L(r)(E,1)/r! |
Ω |
1.5750076586635 |
Real period |
R |
7.3761871841648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35217i4 82173f4 |
Quadratic twists by: -3 -7 |