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	2	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	78848 = 210 · 7 · 11	Discriminant
Eigenvalues	2+  0  2 7- 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-104,-408]	[a1,a2,a3,a4,a6]
Generators	[2130:6576:125]	Generators of the group modulo torsion
j	121485312/77	j-invariant
L	4.2295543660862	L(r)(E,1)/r!
Ω	1.4950569713045	Real period
R	5.6580510940606	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	4928s1 616e1 44352cc1 123200k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928m1

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 4928m1

-4	8	-3	5	-7	-11
4928s1	616e1	44352cc1	123200k1	34496be1	54208h1

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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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