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	2002b	Isogeny class
Conductor	2002	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-1827958132 = -1 · 22 · 74 · 114 · 13	Discriminant
Eigenvalues	2+  0  2 7- 11- 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,154,-1960]	[a1,a2,a3,a4,a6]
j	402437650887/1827958132	j-invariant
L	1.4990295361451	L(r)(E,1)/r!
Ω	0.74951476807256	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	16016g4 64064k3 18018bo4 50050bj3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2002b4

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	-	-	-	2	-4	0	6	8	6	2	8	0	-10	4	-2	4	8	10	4	4	-2	-18

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Quadratic twists for elliptic curve 2002b4

-4	8	-3	5	-7	-11	13
16016g4	64064k3	18018bo4	50050bj3	14014d4	22022m3	26026i3

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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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