Cremona's table of elliptic curves

4408 = 2³ · 19 · 29

Field	Data	Notes
Atkin-Lehner	2+ 19+ 29+	Signs for the Atkin-Lehner involutions
Class	4408a	Isogeny class
Conductor	4408	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	896	Modular degree for the optimal curve
Δ	-4090624 = -1 · 28 · 19 · 292	Discriminant
Eigenvalues	2+ -2  3  1 -1 -6  7 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9,-101]	[a1,a2,a3,a4,a6]
Generators	[15:58:1]	Generators of the group modulo torsion
j	-351232/15979	j-invariant
L	3.1717491868191	L(r)(E,1)/r!
Ω	1.0811426599372	Real period
R	0.36671261161355	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	8816b1 35264q1 39672k1 110200d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4408a1

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
+	-2	3	1	-1	-6	7	+	0	+	-10	4	-2	-5	-3	8	-6	1	-2	-12	-5	-8	4	12	-16

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Quadratic twists for elliptic curve 4408a1

-4	8	-3	5	-19	29
8816b1	35264q1	39672k1	110200d1	83752d1	127832f1

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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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