Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bh |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
440 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-2.6912396720678E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193225,251661623] |
[a1,a2,a3,a4,a6] |
Generators |
[-409:16200:1] |
Generators of the group modulo torsion |
j |
-194785201824227776/6570409355634375 |
j-invariant |
L |
8.3413384295102 |
L(r)(E,1)/r! |
Ω |
0.17597102553579 |
Real period |
R |
0.43092519988064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320k1 32160m1 |
Quadratic twists by: -4 8 |