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	4928r	Isogeny class
Conductor	4928	Conductor
∏ cp	60	Product of Tamagawa factors cp
Δ	24639868529475584 = 216 · 710 · 113	Discriminant
Eigenvalues	2+ -2 -2 7- 11-  0  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-91169,7401151]	[a1,a2,a3,a4,a6]
Generators	[-254:3773:1]	Generators of the group modulo torsion
j	1278763167594532/375974556419	j-invariant
L	2.3148245441305	L(r)(E,1)/r!
Ω	0.35122003341852	Real period
R	0.43938734010505	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	4928u2 616b2 44352bz2 123200v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928r2

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

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Quadratic twists for elliptic curve 4928r2

-4	8	-3	5	-7	-11
4928u2	616b2	44352bz2	123200v2	34496bq2	54208s2

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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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