Cremona's table of elliptic curves

1479 = 3 · 17 · 29

Field	Data	Notes
Atkin-Lehner	3- 17- 29+	Signs for the Atkin-Lehner involutions
Class	1479f	Isogeny class
Conductor	1479	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-21456068898310251 = -1 · 3 · 17 · 2910	Discriminant
Eigenvalues	-2 3-  1 -2 -3 -1 17-  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,39320,-6363488]	[a1,a2,a3,a4,a6]
Generators	[7714470:143564543:27000]	Generators of the group modulo torsion
j	6722846486548803584/21456068898310251	j-invariant
L	1.7406090386612	L(r)(E,1)/r!
Ω	0.1954789138278	Real period
R	4.4521657210416	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23664j2 94656n2 4437h2 36975e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1479f2

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	-	1	-2	-3	-1	-	5	-1	+	-8	-2	-3	-1	-2	4	10	-8	-12	12	-16	0	-6	0	-2

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Quadratic twists for elliptic curve 1479f2

-4	8	-3	5	-7	17	29
23664j2	94656n2	4437h2	36975e2	72471g2	25143g2	42891b2

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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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