Cremona's table of elliptic curves

320 = 2⁶ · 5

Field	Data	Notes
Atkin-Lehner	2- 5+	Signs for the Atkin-Lehner involutions
Class	320a	Isogeny class
Conductor	320	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	16	Modular degree for the optimal curve
Δ	5120 = 210 · 5	Discriminant
Eigenvalues	2-  0 5+  4  4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-8,-8]	[a1,a2,a3,a4,a6]
j	55296/5	j-invariant
L	1.4275819958837	L(r)(E,1)/r!
Ω	2.8551639917675	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	320b1 80a2 2880bg1 1600p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 320a1

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
-	0	+	4	4	2	2	4	-4	2	8	-6	-6	-8	-4	-6	-4	2	8	0	-6	0	-16	-6	-14

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Quadratic twists for elliptic curve 320a1

-4	8	-3	5	-7	-11	13	17	-19
320b1	80a2	2880bg1	1600p1	15680dk1	38720bu1	54080cw1	92480dv1	115520bv1

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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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