Cremona's table of elliptic curves

3542 = 2 · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 7- 11+ 23+	Signs for the Atkin-Lehner involutions
Class	3542o	Isogeny class
Conductor	3542	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	2.9937242318698E+19	Discriminant
Eigenvalues	2- -2  0 7- 11+  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-779898,-31326092]	[a1,a2,a3,a4,a6]
Generators	[-434:15232:1]	Generators of the group modulo torsion
j	52461072723569038782625/29937242318698495088	j-invariant
L	3.7947525505348	L(r)(E,1)/r!
Ω	0.17387964464397	Real period
R	5.4560045805026	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	28336bd4 113344bs4 31878r4 88550g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542o4

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

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Quadratic twists for elliptic curve 3542o4

-4	8	-3	5	-7	-11	-23
28336bd4	113344bs4	31878r4	88550g4	24794bg4	38962f4	81466be4

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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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