Cremona's table of elliptic curves

320 = 2⁶ · 5

Field	Data	Notes
Atkin-Lehner	2- 5-	Signs for the Atkin-Lehner involutions
Class	320f	Isogeny class
Conductor	320	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-256000000 = -1 · 214 · 56	Discriminant
Eigenvalues	2- -2 5- -2  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-145,975]	[a1,a2,a3,a4,a6]
Generators	[-5:40:1]	Generators of the group modulo torsion
j	-20720464/15625	j-invariant
L	1.3296773087947	L(r)(E,1)/r!
Ω	1.6080776337804	Real period
R	0.13781230466972	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	320c4 80b3 2880ba4 1600r4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 320f4

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

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Quadratic twists for elliptic curve 320f4

-4	8	-3	5	-7	-11	13	17	-19
320c4	80b3	2880ba4	1600r4	15680cp4	38720dn4	54080ck4	92480dh4	115520cv4

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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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