Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440fs |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-11354204160000 = -1 · 214 · 38 · 54 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,166736] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-360:1] |
Generators of the group modulo torsion |
j |
-94875856/950625 |
j-invariant |
L |
7.3195628316906 |
L(r)(E,1)/r! |
Ω |
0.61167327944211 |
Real period |
R |
0.74790364783935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440cr2 9360bi2 12480bu2 |
Quadratic twists by: -4 8 -3 |