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	4928m	Isogeny class
Conductor	4928	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	97140736 = 214 · 72 · 112	Discriminant
Eigenvalues	2+  0  2 7- 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-124,-240]	[a1,a2,a3,a4,a6]
Generators	[62:480:1]	Generators of the group modulo torsion
j	12869712/5929	j-invariant
L	4.2295543660862	L(r)(E,1)/r!
Ω	1.4950569713045	Real period
R	2.8290255470303	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	4928s2 616e2 44352cc2 123200k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928m2

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

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Quadratic twists for elliptic curve 4928m2

-4	8	-3	5	-7	-11
4928s2	616e2	44352cc2	123200k2	34496be2	54208h2

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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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