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	4416l	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	[10:15:1]	Generators of the group modulo torsion
j	3112136/1587	j-invariant
L	4.6061225933494	L(r)(E,1)/r!
Ω	1.7636521122832	Real period
R	2.6116956747136	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	4416d2 2208i2 13248i2 110400h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4416l2

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 4416l2

-4	8	-3	5	-23
4416d2	2208i2	13248i2	110400h2	101568bl2

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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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