Atkin-Lehner |
2- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
57152p |
Isogeny class |
Conductor |
57152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
-1.7968925531961E+19 |
Discriminant |
Eigenvalues |
2- 3 0 -3 2 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-461740,237021392] |
[a1,a2,a3,a4,a6] |
Generators |
[86628:4813552:27] |
Generators of the group modulo torsion |
j |
-41531372728322625/68546011092992 |
j-invariant |
L |
10.600604276529 |
L(r)(E,1)/r! |
Ω |
0.19555447893505 |
Real period |
R |
6.7759917428022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57152d1 14288g1 |
Quadratic twists by: -4 8 |