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	1479d	Isogeny class
Conductor	1479	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	2921777811 = 35 · 17 · 294	Discriminant
Eigenvalues	1 3-  2  0  4 -2 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-22050,1258381]	[a1,a2,a3,a4,a6]
j	1185553563855028633/2921777811	j-invariant
L	3.0898806202389	L(r)(E,1)/r!
Ω	1.2359522480955	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	23664g4 94656h4 4437j3 36975j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1479d4

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	-	2	0	4	-2	+	8	4	+	0	2	6	0	8	6	-4	-14	-12	12	14	8	-12	-18	14

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Quadratic twists for elliptic curve 1479d4

-4	8	-3	5	-7	17	29
23664g4	94656h4	4437j3	36975j4	72471i4	25143d4	42891f4

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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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