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	144	Product of Tamagawa factors cp
Δ	162273186639872 = 212 · 76 · 114 · 23	Discriminant
Eigenvalues	2- -2  0 7- 11+  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-501578,136684324]	[a1,a2,a3,a4,a6]
Generators	[-364:16646:1]	Generators of the group modulo torsion
j	13955300880533969118625/162273186639872	j-invariant
L	3.7947525505348	L(r)(E,1)/r!
Ω	0.52163893393192	Real period
R	1.8186681935009	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	28336bd2 113344bs2 31878r2 88550g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542o2

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 3542o2

-4	8	-3	5	-7	-11	-23
28336bd2	113344bs2	31878r2	88550g2	24794bg2	38962f2	81466be2

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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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