Atkin-Lehner |
2- 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010bt |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
882 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-2.539627167744E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 4 -3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-293297,-249977631] |
[a1,a2,a3,a4,a6] |
Generators |
[887:13236:1] |
Generators of the group modulo torsion |
j |
-3827521668636130249/34837135360000000 |
j-invariant |
L |
9.6513454796064 |
L(r)(E,1)/r! |
Ω |
0.08973559196369 |
Real period |
R |
0.1219423456343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5890a1 |
Quadratic twists by: -3 |