Cremona's table of elliptic curves

4928 = 2⁶ · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 7- 11+	Signs for the Atkin-Lehner involutions
Class	4928bb	Isogeny class
Conductor	4928	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-909459324928 = -1 · 230 · 7 · 112	Discriminant
Eigenvalues	2-  0 -2 7- 11+ -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-236,45904]	[a1,a2,a3,a4,a6]
Generators	[-36:88:1]	Generators of the group modulo torsion
j	-5545233/3469312	j-invariant
L	3.2359716692061	L(r)(E,1)/r!
Ω	0.71630801875515	Real period
R	2.2587850369383	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	4928h1 1232j1 44352ew1 123200dx1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928bb1

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	-	+	-2	2	0	8	2	8	2	10	4	-8	-6	0	-10	-12	-16	-14	0	0	-6	10

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Quadratic twists for elliptic curve 4928bb1

-4	8	-3	5	-7	-11
4928h1	1232j1	44352ew1	123200dx1	34496cf1	54208bw1

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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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