Cremona's table of elliptic curves

4664 = 2³ · 11 · 53

Field	Data	Notes
Atkin-Lehner	2- 11- 53-	Signs for the Atkin-Lehner involutions
Class	4664d	Isogeny class
Conductor	4664	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2816	Modular degree for the optimal curve
Δ	-7910144 = -1 · 28 · 11 · 532	Discriminant
Eigenvalues	2- -1  3 -4 11-  0 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3609,-82259]	[a1,a2,a3,a4,a6]
j	-20312562936832/30899	j-invariant
L	1.2318923622799	L(r)(E,1)/r!
Ω	0.30797309056998	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	9328b1 37312d1 41976d1 116600e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4664d1

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
-	-1	3	-4	-	0	-4	0	-1	6	-9	-5	10	2	8	-	-9	8	-7	9	-6	10	-6	15	17

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Quadratic twists for elliptic curve 4664d1

-4	8	-3	5	-11
9328b1	37312d1	41976d1	116600e1	51304b1

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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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