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	8	Product of Tamagawa factors cp
Δ	-409600 = -1 · 214 · 52	Discriminant
Eigenvalues	2- -2 5- -2  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,15,-17]	[a1,a2,a3,a4,a6]
Generators	[3:8:1]	Generators of the group modulo torsion
j	21296/25	j-invariant
L	1.3296773087947	L(r)(E,1)/r!
Ω	1.6080776337804	Real period
R	0.41343691400916	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	320c2 80b1 2880ba2 1600r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 320f2

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 320f2

-4	8	-3	5	-7	-11	13	17	-19
320c2	80b1	2880ba2	1600r2	15680cp2	38720dn2	54080ck2	92480dh2	115520cv2

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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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