Cremona's table of elliptic curves

456 = 2³ · 3 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 19+	Signs for the Atkin-Lehner involutions
Class	456b	Isogeny class
Conductor	456	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	7206230016 = 211 · 33 · 194	Discriminant
Eigenvalues	2+ 3-  2  0  0  2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1272,16560]	[a1,a2,a3,a4,a6]
j	111223479026/3518667	j-invariant
L	1.9765351333734	L(r)(E,1)/r!
Ω	1.3176900889156	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	912b3 3648i3 1368g3 11400u3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 456b3

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
+	-	2	0	0	2	2	+	0	2	-4	2	6	-4	0	10	-4	-2	-12	0	-6	-4	-8	6	-14

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Quadratic twists for elliptic curve 456b3

-4	8	-3	5	-7	-11	13	-19
912b3	3648i3	1368g3	11400u3	22344j4	55176p4	77064x4	8664i3

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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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