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	3542m	Isogeny class
Conductor	3542	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-226719878 = -1 · 2 · 7 · 113 · 233	Discriminant
Eigenvalues	2-  1  0 7- 11+ -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-328,-2426]	[a1,a2,a3,a4,a6]
Generators	[294492:3677359:1728]	Generators of the group modulo torsion
j	-3903264618625/226719878	j-invariant
L	5.6845322222273	L(r)(E,1)/r!
Ω	0.55902780938483	Real period
R	10.168603648685	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	28336bb2 113344bo2 31878t2 88550e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542m2

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	0	-	+	-4	-6	-4	+	-3	8	-7	-3	2	0	-9	15	-1	5	3	-10	-1	-3	15	2

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Quadratic twists for elliptic curve 3542m2

-4	8	-3	5	-7	-11	-23
28336bb2	113344bo2	31878t2	88550e2	24794bc2	38962b2	81466bc2

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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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