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	1462c	Isogeny class
Conductor	1462	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	7200	Modular degree for the optimal curve
Δ	-64019602866176 = -1 · 220 · 175 · 43	Discriminant
Eigenvalues	2-  3  1  0 -2  5 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-6237,-427547]	[a1,a2,a3,a4,a6]
j	-26827837227982881/64019602866176	j-invariant
L	5.013443853582	L(r)(E,1)/r!
Ω	0.2506721926791	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11696m1 46784j1 13158f1 36550g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1462c1

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
-	3	1	0	-2	5	+	-2	-6	-6	-6	-5	0	+	9	5	13	7	7	-3	-13	12	15	6	2

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Quadratic twists for elliptic curve 1462c1

-4	8	-3	5	-7	17	-43
11696m1	46784j1	13158f1	36550g1	71638x1	24854e1	62866d1

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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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