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	4928o	Isogeny class
Conductor	4928	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-10021812416 = -1 · 26 · 76 · 113	Discriminant
Eigenvalues	2+ -1 -3 7- 11-  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-197,4999]	[a1,a2,a3,a4,a6]
Generators	[-6:77:1]	Generators of the group modulo torsion
j	-13278380032/156590819	j-invariant
L	2.5660509748821	L(r)(E,1)/r!
Ω	1.0952448108585	Real period
R	0.13016120786887	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4928t2 77b1 44352ch2 123200s2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928o2

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	-6	-2	3	6	5	-11	6	-8	0	6	9	10	-5	9	2	-10	-12	-3	-1

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Quadratic twists for elliptic curve 4928o2

-4	8	-3	5	-7	-11
4928t2	77b1	44352ch2	123200s2	34496bi2	54208l2

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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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