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	2	Product of Tamagawa factors cp
Δ	-89843750000 = -1 · 24 · 512 · 23	Discriminant
Eigenvalues	2-  1 5+ -4 -6 -1  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,414,-13915]	[a1,a2,a3,a4,a6]
Generators	[1839:15625:27]	Generators of the group modulo torsion
j	489277573376/5615234375	j-invariant
L	1.9113524379283	L(r)(E,1)/r!
Ω	0.52799419264949	Real period
R	1.810012746861	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	1840f2 7360m2 4140f2 2300a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 460c2

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 460c2

-4	8	-3	5	-7	-11	13	-23
1840f2	7360m2	4140f2	2300a2	22540r2	55660g2	77740l2	10580i2

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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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