Cremona's table of elliptic curves

4400 = 2⁴ · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	4400t	Isogeny class
Conductor	4400	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	2214451250000 = 24 · 57 · 116	Discriminant
Eigenvalues	2- -2 5+ -4 11-  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-11133,442738]	[a1,a2,a3,a4,a6]
Generators	[98:550:1]	Generators of the group modulo torsion
j	610462990336/8857805	j-invariant
L	2.2538950386581	L(r)(E,1)/r!
Ω	0.8240080978032	Real period
R	0.45588043868884	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1100b3 17600bv3 39600dl3 880j3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4400t3

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	+	-4	-	4	0	4	-6	-6	-8	-2	6	8	6	6	12	2	-10	12	16	-8	0	6	-14

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Quadratic twists for elliptic curve 4400t3

-4	8	-3	5	-11
1100b3	17600bv3	39600dl3	880j3	48400cp3

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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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