Cremona's table of elliptic curves

1462 = 2 · 17 · 43

Field	Data	Notes
Atkin-Lehner	2- 17+ 43+	Signs for the Atkin-Lehner involutions
Class	1462b	Isogeny class
Conductor	1462	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	49708 = 22 · 172 · 43	Discriminant
Eigenvalues	2-  0  4  0 -2  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-918,-10471]	[a1,a2,a3,a4,a6]
j	85468909049649/49708	j-invariant
L	3.4696515136651	L(r)(E,1)/r!
Ω	0.86741287841629	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11696j2 46784f2 13158g2 36550f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1462b2

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
-	0	4	0	-2	2	+	4	6	0	6	-8	6	+	12	-10	-8	-8	-8	0	-4	6	12	-18	2

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Quadratic twists for elliptic curve 1462b2

-4	8	-3	5	-7	17	-43
11696j2	46784f2	13158g2	36550f2	71638q2	24854d2	62866b2

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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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