Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440dh |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-116812800 = -1 · 210 · 33 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48,504] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:20:1] |
Generators of the group modulo torsion |
j |
442368/4225 |
j-invariant |
L |
5.6231737751412 |
L(r)(E,1)/r! |
Ω |
1.370575552035 |
Real period |
R |
1.0256956952852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440p1 9360z1 37440cx1 |
Quadratic twists by: -4 8 -3 |