Cremona's table of elliptic curves

2142 = 2 · 3² · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 17+	Signs for the Atkin-Lehner involutions
Class	2142b	Isogeny class
Conductor	2142	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-5415344424 = -1 · 23 · 39 · 7 · 173	Discriminant
Eigenvalues	2+ 3+  3 7-  3  5 17+  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,147,3437]	[a1,a2,a3,a4,a6]
j	17779581/275128	j-invariant
L	2.0155387870874	L(r)(E,1)/r!
Ω	1.0077693935437	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	17136o2 68544q2 2142n1 53550cq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2142b2

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
+	+	3	-	3	5	+	2	0	0	2	-1	0	5	-6	-3	-12	8	11	-12	-7	-7	-3	-9	17

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Quadratic twists for elliptic curve 2142b2

-4	8	-3	5	-7	17
17136o2	68544q2	2142n1	53550cq2	14994k2	36414f2

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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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