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	2002c	Isogeny class
Conductor	2002	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	30788758 = 2 · 72 · 11 · 134	Discriminant
Eigenvalues	2-  0  4 7- 11+ 13-  4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-93,239]	[a1,a2,a3,a4,a6]
j	88061730849/30788758	j-invariant
L	3.8327463420914	L(r)(E,1)/r!
Ω	1.9163731710457	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	16016h2 64064p2 18018s2 50050b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2002c2

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	4	-	+	-	4	-6	4	2	6	-2	0	12	-6	6	-4	-2	-4	-12	-16	-8	-14	18	-6

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Quadratic twists for elliptic curve 2002c2

-4	8	-3	5	-7	-11	13
16016h2	64064p2	18018s2	50050b2	14014e2	22022a2	26026a2

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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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