Atkin-Lehner |
2+ 3- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
39858i |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-143584618632 = -1 · 23 · 3 · 7 · 133 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,734,16604] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:112:1] |
Generators of the group modulo torsion |
j |
43818969206375/143584618632 |
j-invariant |
L |
5.4694743197553 |
L(r)(E,1)/r! |
Ω |
0.73022656049875 |
Real period |
R |
0.83223399659272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119574bj2 |
Quadratic twists by: -3 |