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	4416d	Isogeny class
Conductor	4416	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	52002816 = 215 · 3 · 232	Discriminant
Eigenvalues	2+ 3+  2  2 -2 -6  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-97,-95]	[a1,a2,a3,a4,a6]
Generators	[15:40:1]	Generators of the group modulo torsion
j	3112136/1587	j-invariant
L	3.6514493845484	L(r)(E,1)/r!
Ω	1.6048803109726	Real period
R	2.275216014293	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	4416l2 2208e2 13248t2 110400ea2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4416d2

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

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Quadratic twists for elliptic curve 4416d2

-4	8	-3	5	-23
4416l2	2208e2	13248t2	110400ea2	101568m2

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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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