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	2030b	Isogeny class
Conductor	2030	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-81609759641200 = -1 · 24 · 52 · 73 · 296	Discriminant
Eigenvalues	2- -2 5- 7-  0  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-32340,-2283008]	[a1,a2,a3,a4,a6]
j	-3740628669743972161/81609759641200	j-invariant
L	2.1333146703471	L(r)(E,1)/r!
Ω	0.17777622252893	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	16240q3 64960g3 18270s3 10150a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2030b3

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
-	-2	-	-	0	2	0	2	0	+	2	-10	0	8	6	6	0	8	-4	0	8	8	12	-12	8

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Quadratic twists for elliptic curve 2030b3

-4	8	-3	5	-7	29
16240q3	64960g3	18270s3	10150a3	14210o3	58870l3

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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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