Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936bw |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1789324449063174144 = -1 · 216 · 312 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,248541,-43213790] |
[a1,a2,a3,a4,a6] |
Generators |
[4629:56870:27] |
Generators of the group modulo torsion |
j |
568630774259423/599241137616 |
j-invariant |
L |
8.0264500623524 |
L(r)(E,1)/r! |
Ω |
0.14332874905326 |
Real period |
R |
4.6666899903013 |
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 |
5742g2 15312r2 |
Quadratic twists by: -4 -3 |