Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330ek |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
5.6778503385944E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-580249508,-5379584241769] |
[a1,a2,a3,a4,a6] |
Generators |
[-13949:13981:1] |
Generators of the group modulo torsion |
j |
251913989442882736925929/6620155222590000 |
j-invariant |
L |
10.294944840524 |
L(r)(E,1)/r! |
Ω |
0.03076072338255 |
Real period |
R |
3.4862316929689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bl3 8190bn3 |
Quadratic twists by: -3 -7 |