Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330eu |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
1944 |
Product of Tamagawa factors cp |
Δ |
-7.3518749923251E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24710342,49051718741] |
[a1,a2,a3,a4,a6] |
Generators |
[-4569:260269:1] |
Generators of the group modulo torsion |
j |
-397052665540282969/17493884928000 |
j-invariant |
L |
11.080751420148 |
L(r)(E,1)/r! |
Ω |
0.10815867820319 |
Real period |
R |
0.47430105420357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
19110t2 57330dx2 |
Quadratic twists by: -3 -7 |