Cremona's table of elliptic curves

2002 = 2 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 7+ 11+ 13-	Signs for the Atkin-Lehner involutions
Class	2002a	Isogeny class
Conductor	2002	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	2093213298176 = 29 · 7 · 112 · 136	Discriminant
Eigenvalues	2+  0  2 7+ 11+ 13- -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-18611,-970123]	[a1,a2,a3,a4,a6]
j	712928482228623753/2093213298176	j-invariant
L	1.2264615520686	L(r)(E,1)/r!
Ω	0.40882051735621	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16016m2 64064d2 18018bi2 50050br2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2002a2

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	+	+	-	-4	0	4	4	4	4	10	4	8	6	6	10	12	-14	-14	-6	0	0	16

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Quadratic twists for elliptic curve 2002a2

-4	8	-3	5	-7	-11	13
16016m2	64064d2	18018bi2	50050br2	14014a2	22022s2	26026q2

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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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