Cremona's table of elliptic curves

3059 = 7 · 19 · 23

Field	Data	Notes
Atkin-Lehner	7+ 19- 23-	Signs for the Atkin-Lehner involutions
Class	3059a	Isogeny class
Conductor	3059	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2734353649601 = 7 · 198 · 23	Discriminant
Eigenvalues	-1  0  2 7+  4 -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3574,-19892]	[a1,a2,a3,a4,a6]
Generators	[-56:75:1]	Generators of the group modulo torsion
j	5047466339151153/2734353649601	j-invariant
L	2.3373462257301	L(r)(E,1)/r!
Ω	0.65821625928251	Real period
R	1.7755154121215	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	48944s3 27531c3 76475n3 21413c3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3059a4

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
-1	0	2	+	4	-2	-2	-	-	-2	-4	6	2	-4	-4	-2	0	2	4	-8	2	-16	-4	6	6

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Quadratic twists for elliptic curve 3059a4

-4	-3	5	-7	-19	-23
48944s3	27531c3	76475n3	21413c3	58121a3	70357c3

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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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