Atkin-Lehner |
2+ 3- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158l |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
48730423097538 = 2 · 36 · 76 · 132 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13587,-505333] |
[a1,a2,a3,a4,a6] |
Generators |
[139:457:1] |
Generators of the group modulo torsion |
j |
380526485144625/66845573522 |
j-invariant |
L |
5.2532388131473 |
L(r)(E,1)/r! |
Ω |
0.44751784453911 |
Real period |
R |
2.9346532643783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7462h2 |
Quadratic twists by: -3 |