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	4416n	Isogeny class
Conductor	4416	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	6318342144 = 214 · 36 · 232	Discriminant
Eigenvalues	2+ 3- -2 -4  4  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-849,-9009]	[a1,a2,a3,a4,a6]
Generators	[-15:24:1]	Generators of the group modulo torsion
j	4135597648/385641	j-invariant
L	3.6467077285376	L(r)(E,1)/r!
Ω	0.88964662805986	Real period
R	1.3663506436221	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4416q2 552d2 13248h2 110400q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4416n2

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

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Quadratic twists for elliptic curve 4416n2

-4	8	-3	5	-23
4416q2	552d2	13248h2	110400q2	101568bd2

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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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