Cremona's table of elliptic curves

1290 = 2 · 3 · 5 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 43+	Signs for the Atkin-Lehner involutions
Class	1290d	Isogeny class
Conductor	1290	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-2721093750 = -1 · 2 · 34 · 58 · 43	Discriminant
Eigenvalues	2+ 3- 5+  4  0 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,341,-604]	[a1,a2,a3,a4,a6]
j	4403686064471/2721093750	j-invariant
L	1.6595170618844	L(r)(E,1)/r!
Ω	0.82975853094221	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	10320s4 41280u3 3870y4 6450bd4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1290d4

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
+	-	+	4	0	-2	2	4	0	2	0	10	-6	+	-8	2	0	2	-4	8	10	-8	16	6	2

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Quadratic twists for elliptic curve 1290d4

-4	8	-3	5	-7	-43
10320s4	41280u3	3870y4	6450bd4	63210h3	55470bd3

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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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