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	4400q	Isogeny class
Conductor	4400	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	440000000000 = 212 · 510 · 11	Discriminant
Eigenvalues	2-  0 5+  0 11- -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-23675,-1401750]	[a1,a2,a3,a4,a6]
Generators	[-702:57:8]	Generators of the group modulo torsion
j	22930509321/6875	j-invariant
L	3.5417043847493	L(r)(E,1)/r!
Ω	0.38488844392434	Real period
R	4.6009492369242	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	275a4 17600bl3 39600cy4 880i3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4400q3

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

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Quadratic twists for elliptic curve 4400q3

-4	8	-3	5	-11
275a4	17600bl3	39600cy4	880i3	48400br4

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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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