Cremona's table of elliptic curves

460 = 2² · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 5- 23+	Signs for the Atkin-Lehner involutions
Class	460d	Isogeny class
Conductor	460	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	24	Modular degree for the optimal curve
Δ	-9200 = -1 · 24 · 52 · 23	Discriminant
Eigenvalues	2- -1 5- -2 -4  1  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-10,17]	[a1,a2,a3,a4,a6]
Generators	[4:-5:1]	Generators of the group modulo torsion
j	-7626496/575	j-invariant
L	1.6666314042944	L(r)(E,1)/r!
Ω	4.0282816130043	Real period
R	0.068955432465054	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1840i1 7360b1 4140d1 2300d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 460d1

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
-	-1	-	-2	-4	1	0	-4	+	-7	-7	-4	3	6	-13	10	-8	0	8	13	11	4	-4	-6	-2

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Quadratic twists for elliptic curve 460d1

-4	8	-3	5	-7	-11	13	-23
1840i1	7360b1	4140d1	2300d1	22540d1	55660t1	77740b1	10580c1

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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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