Atkin-Lehner |
3+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57399a |
Isogeny class |
Conductor |
57399 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
152000 |
Modular degree for the optimal curve |
Δ |
51307343946861 = 3 · 199 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 3 1 2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9574,-110026] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:528:1] |
Generators of the group modulo torsion |
j |
300763/159 |
j-invariant |
L |
4.8289530381222 |
L(r)(E,1)/r! |
Ω |
0.51224836474043 |
Real period |
R |
4.7134879978463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57399f1 |
Quadratic twists by: -19 |