Atkin-Lehner |
2- 3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270ct |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
10080 |
Product of Tamagawa factors cp |
Δ |
-4.0519241044308E+31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4117864555,322705573185377] |
[a1,a2,a3,a4,a6] |
Generators |
[385844:-237209047:1] |
Generators of the group modulo torsion |
j |
-7722179370452887722568391262588721/40519241044308010298100228750000 |
j-invariant |
L |
11.564142360456 |
L(r)(E,1)/r! |
Ω |
0.017668951810172 |
Real period |
R |
0.25971803140528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810w2 |
Quadratic twists by: -3 |