Cremona's table of elliptic curves

2030 = 2 · 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 29-	Signs for the Atkin-Lehner involutions
Class	2030a	Isogeny class
Conductor	2030	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	16483600 = 24 · 52 · 72 · 292	Discriminant
Eigenvalues	2+  0 5- 7+  0 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-64,48]	[a1,a2,a3,a4,a6]
Generators	[-1:11:1]	Generators of the group modulo torsion
j	29246580441/16483600	j-invariant
L	2.2798256035822	L(r)(E,1)/r!
Ω	1.8959657175224	Real period
R	1.2024614066131	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	16240t2 64960a2 18270bk2 10150m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2030a2

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

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Quadratic twists for elliptic curve 2030a2

-4	8	-3	5	-7	29
16240t2	64960a2	18270bk2	10150m2	14210c2	58870r2

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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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