Atkin-Lehner |
2+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
46784j |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-1.6782354773751E+19 |
Discriminant |
Eigenvalues |
2+ -3 -1 0 2 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399148,-219702224] |
[a1,a2,a3,a4,a6] |
j |
-26827837227982881/64019602866176 |
j-invariant |
L |
0.17725200704593 |
L(r)(E,1)/r! |
Ω |
0.088626003649146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46784w1 1462c1 |
Quadratic twists by: -4 8 |