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	4928p	Isogeny class
Conductor	4928	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	-13877248 = -1 · 214 · 7 · 112	Discriminant
Eigenvalues	2+  2 -2 7- 11- -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-49,-207]	[a1,a2,a3,a4,a6]
Generators	[27:132:1]	Generators of the group modulo torsion
j	-810448/847	j-invariant
L	4.7505656924824	L(r)(E,1)/r!
Ω	0.86470316444301	Real period
R	2.7469343746084	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	4928w1 616c1 44352ca1 123200bd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928p1

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

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Quadratic twists for elliptic curve 4928p1

-4	8	-3	5	-7	-11
4928w1	616c1	44352ca1	123200bd1	34496bt1	54208o1

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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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