Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200bi |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-201069440000000 = -1 · 213 · 57 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 11+ 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22675,-1480750] |
[a1,a2,a3,a4,a6] |
Generators |
[5565:43550:27] |
Generators of the group modulo torsion |
j |
-20145851361/3141710 |
j-invariant |
L |
11.292117203177 |
L(r)(E,1)/r! |
Ω |
0.19287214041805 |
Real period |
R |
3.659197869033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7150k1 11440n1 |
Quadratic twists by: -4 5 |