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	460c	Isogeny class
Conductor	460	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	144	Modular degree for the optimal curve
Δ	-121670000 = -1 · 24 · 54 · 233	Discriminant
Eigenvalues	2-  1 5+ -4 -6 -1  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-46,529]	[a1,a2,a3,a4,a6]
Generators	[-6:25:1]	Generators of the group modulo torsion
j	-687518464/7604375	j-invariant
L	1.9113524379283	L(r)(E,1)/r!
Ω	1.5839825779485	Real period
R	0.603337582287	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	1840f1 7360m1 4140f1 2300a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 460c1

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	+	-4	-6	-1	0	2	-	9	5	2	-9	-4	-3	-6	0	2	-10	-3	-7	-10	-12	0	8

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Quadratic twists for elliptic curve 460c1

-4	8	-3	5	-7	-11	13	-23
1840f1	7360m1	4140f1	2300a1	22540r1	55660g1	77740l1	10580i1

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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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