Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440bb |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-26202009600 = -1 · 212 · 39 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,-7776] |
[a1,a2,a3,a4,a6] |
Generators |
[45:297:1] |
Generators of the group modulo torsion |
j |
1728/325 |
j-invariant |
L |
5.4317265776447 |
L(r)(E,1)/r! |
Ω |
0.56089284060842 |
Real period |
R |
2.4210179665301 |
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 |
37440ba1 18720b1 37440n1 |
Quadratic twists by: -4 8 -3 |