Cremona's table of elliptic curves

320 = 2⁶ · 5

Field	Data	Notes
Atkin-Lehner	2+ 5+	Signs for the Atkin-Lehner involutions
Class	320b	Isogeny class
Conductor	320	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	409600 = 214 · 52	Discriminant
Eigenvalues	2+  0 5+ -4 -4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-28,-48]	[a1,a2,a3,a4,a6]
Generators	[-3:3:1]	Generators of the group modulo torsion
j	148176/25	j-invariant
L	1.5161085153166	L(r)(E,1)/r!
Ω	2.0992762520697	Real period
R	1.4444106761289	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	320a2 40a1 2880t2 1600a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 320b2

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 320b2

-4	8	-3	5	-7	-11	13	17	-19
320a2	40a1	2880t2	1600a2	15680bm2	38720f2	54080bf2	92480bs2	115520j2

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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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