Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168dt |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
1671168 |
Modular degree for the optimal curve |
Δ |
-1.6084511651582E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-380185,-213137881] |
[a1,a2,a3,a4,a6] |
Generators |
[6977:580356:1] |
Generators of the group modulo torsion |
j |
-1483712790216999616/3926882727437103 |
j-invariant |
L |
6.0600837157318 |
L(r)(E,1)/r! |
Ω |
0.089333526502757 |
Real period |
R |
0.35331568399927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168ca1 31584s1 |
Quadratic twists by: -4 8 |