Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330db |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-207655531902000 = -1 · 24 · 39 · 53 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6532,661231] |
[a1,a2,a3,a4,a6] |
Generators |
[163:-2539:1] |
Generators of the group modulo torsion |
j |
652290597/4394000 |
j-invariant |
L |
8.969362470336 |
L(r)(E,1)/r! |
Ω |
0.40888247626029 |
Real period |
R |
0.30467062295032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57330i1 57330di2 |
Quadratic twists by: -3 -7 |