Cremona's table of elliptic curves

16704 = 2⁶ · 3² · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 29-	Signs for the Atkin-Lehner involutions
Class	16704bh	Isogeny class
Conductor	16704	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	-1.9779016189691E+19	Discriminant
Eigenvalues	2+ 3- -1  1 -2  0  3  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3750348,2803651184]	[a1,a2,a3,a4,a6]
Generators	[1237:7569:1]	Generators of the group modulo torsion
j	-30526075007211889/103499257854	j-invariant
L	4.750606357716	L(r)(E,1)/r!
Ω	0.21746145863048	Real period
R	0.39010248952637	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	16704db2 522d2 5568b2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 16704bh2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	-1	1	-2	0	3	1	4	-	4	-3	7	-9	1	-2	-3	-6	-12	-16	-10	10	0	-6	0

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Quadratic twists for elliptic curve 16704bh2

-4	8	-3
16704db2	522d2	5568b2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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