Atkin-Lehner |
3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13545n |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-57624112546875 = -1 · 36 · 56 · 76 · 43 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6918,290412] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1543:1] |
Generators of the group modulo torsion |
j |
50227071451136/79045421875 |
j-invariant |
L |
3.9721100022322 |
L(r)(E,1)/r! |
Ω |
0.42673088876869 |
Real period |
R |
1.1635289671945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
1505a2 67725n2 94815r2 |
Quadratic twists by: -3 5 -7 |