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	1290g	Isogeny class
Conductor	1290	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	2275690697640 = 23 · 32 · 5 · 436	Discriminant
Eigenvalues	2+ 3- 5-  2 -6  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-5183,-124342]	[a1,a2,a3,a4,a6]
j	15393836938735081/2275690697640	j-invariant
L	1.7047443335329	L(r)(E,1)/r!
Ω	0.56824811117762	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	10320v4 41280d4 3870s4 6450w4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1290g4

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	-6	2	0	2	6	6	8	2	-6	-	6	-6	6	8	-4	0	-4	8	0	-6	-10

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Quadratic twists for elliptic curve 1290g4

-4	8	-3	5	-7	-43
10320v4	41280d4	3870s4	6450w4	63210g4	55470t4

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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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