Cremona's table of elliptic curves

539 = 7² · 11

Field	Data	Notes
Atkin-Lehner	7- 11-	Signs for the Atkin-Lehner involutions
Class	539c	Isogeny class
Conductor	539	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	152254159211 = 712 · 11	Discriminant
Eigenvalues	1 -2  2 7- 11- -4 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2525,-45279]	[a1,a2,a3,a4,a6]
Generators	[-234:603:8]	Generators of the group modulo torsion
j	15124197817/1294139	j-invariant
L	2.0049171696895	L(r)(E,1)/r!
Ω	0.67719878289377	Real period
R	2.9606036223548	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	8624s2 34496v2 4851k2 13475i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 539c2

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

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Quadratic twists for elliptic curve 539c2

-4	8	-3	5	-7	-11	13
8624s2	34496v2	4851k2	13475i2	77c2	5929g2	91091d2

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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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