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	1290j	Isogeny class
Conductor	1290	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	4160250 = 2 · 32 · 53 · 432	Discriminant
Eigenvalues	2- 3+ 5+  2  2 -2  4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1336,18239]	[a1,a2,a3,a4,a6]
j	263732349218689/4160250	j-invariant
L	2.257826616897	L(r)(E,1)/r!
Ω	2.257826616897	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	10320bc2 41280bs2 3870g2 6450m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1290j2

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	2	-2	4	-2	2	-6	8	2	10	+	10	10	6	0	-4	0	4	-16	0	2	14

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Quadratic twists for elliptic curve 1290j2

-4	8	-3	5	-7	-43
10320bc2	41280bs2	3870g2	6450m2	63210cr2	55470n2

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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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