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	4400s	Isogeny class
Conductor	4400	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-5324000000 = -1 · 28 · 56 · 113	Discriminant
Eigenvalues	2-  1 5+  2 11-  4 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1933,32263]	[a1,a2,a3,a4,a6]
Generators	[27:22:1]	Generators of the group modulo torsion
j	-199794688/1331	j-invariant
L	4.4802075322526	L(r)(E,1)/r!
Ω	1.3658215008073	Real period
R	0.54670486219032	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	1100a2 17600bs2 39600de2 176c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4400s2

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	+	2	-	4	-6	-8	-3	0	-5	1	0	-10	0	6	-3	-4	-1	-15	4	-2	6	-9	7

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Quadratic twists for elliptic curve 4400s2

-4	8	-3	5	-11
1100a2	17600bs2	39600de2	176c2	48400by2

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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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