Cremona's table of elliptic curves

4416 = 2⁶ · 3 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 23+	Signs for the Atkin-Lehner involutions
Class	4416x	Isogeny class
Conductor	4416	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	156008448 = 215 · 32 · 232	Discriminant
Eigenvalues	2- 3-  0  0 -2  2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-353,2367]	[a1,a2,a3,a4,a6]
Generators	[-14:69:1]	Generators of the group modulo torsion
j	148877000/4761	j-invariant
L	4.3300561571897	L(r)(E,1)/r!
Ω	1.8132665378361	Real period
R	1.1939932896895	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	4416t2 2208a2 13248bk2 110400gh2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4416x2

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	2	-6	-2	+	-2	8	4	-2	2	-8	0	-8	-8	-2	-8	-10	0	2	-2	6

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Quadratic twists for elliptic curve 4416x2

-4	8	-3	5	-23
4416t2	2208a2	13248bk2	110400gh2	101568dd2

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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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