Cremona's table of elliptic curves

4896 = 2⁵ · 3² · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 17-	Signs for the Atkin-Lehner involutions
Class	4896q	Isogeny class
Conductor	4896	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-107868672 = -1 · 29 · 36 · 172	Discriminant
Eigenvalues	2- 3-  0 -2  4  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,45,-486]	[a1,a2,a3,a4,a6]
j	27000/289	j-invariant
L	1.852498385352	L(r)(E,1)/r!
Ω	0.92624919267601	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4896d2 9792u2 544a2 122400u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4896q2

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	-2	4	2	-	-4	6	-8	2	4	2	4	12	6	4	4	-4	-6	-6	10	-12	10	-10

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Quadratic twists for elliptic curve 4896q2

-4	8	-3	5	17
4896d2	9792u2	544a2	122400u2	83232bc2

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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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