Atkin-Lehner |
2- 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168ca |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
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] |
j |
-1483712790216999616/3926882727437103 |
j-invariant |
L |
0.77803732089459 |
L(r)(E,1)/r! |
Ω |
0.19450933020385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168dt1 31584x1 |
Quadratic twists by: -4 8 |