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	3542k	Isogeny class
Conductor	3542	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	4629376217085372676 = 22 · 710 · 114 · 234	Discriminant
Eigenvalues	2-  0  2 7+ 11+ -6 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-5927574,5555254913]	[a1,a2,a3,a4,a6]
Generators	[9767674:466813971:2744]	Generators of the group modulo torsion
j	23033216869836569212815153/4629376217085372676	j-invariant
L	5.1942195475078	L(r)(E,1)/r!
Ω	0.23745787250055	Real period
R	10.937139065574	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	28336bo2 113344s2 31878i2 88550o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542k2

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	+	+	-6	-6	8	-	-2	0	-2	-6	-12	0	6	0	-6	4	0	2	-16	-8	-14	2

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Quadratic twists for elliptic curve 3542k2

-4	8	-3	5	-7	-11	-23
28336bo2	113344s2	31878i2	88550o2	24794bh2	38962p2	81466bm2

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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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