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	3542i	Isogeny class
Conductor	3542	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	1632	Modular degree for the optimal curve
Δ	453439756 = 22 · 7 · 113 · 233	Discriminant
Eigenvalues	2+  1  3 7- 11- -1  6 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-312,-1878]	[a1,a2,a3,a4,a6]
j	3343374301177/453439756	j-invariant
L	2.2931981251917	L(r)(E,1)/r!
Ω	1.1465990625958	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	28336n1 113344bk1 31878bg1 88550bl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542i1

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	3	-	-	-1	6	-1	-	-6	8	2	3	2	9	-6	0	8	5	0	-13	-4	9	15	-1

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Quadratic twists for elliptic curve 3542i1

-4	8	-3	5	-7	-11	-23
28336n1	113344bk1	31878bg1	88550bl1	24794v1	38962be1	81466d1

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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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