Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39882z |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-169673636285883648 = -1 · 28 · 35 · 179 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 3 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40033,-20059948] |
[a1,a2,a3,a4,a6] |
Generators |
[619:-14182:1] |
Generators of the group modulo torsion |
j |
-293946977449/7029441792 |
j-invariant |
L |
4.4534416715479 |
L(r)(E,1)/r! |
Ω |
0.1393509379867 |
Real period |
R |
1.5979231054659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646ci1 2346c1 |
Quadratic twists by: -3 17 |