Cremona's table of elliptic curves

328 = 2³ · 41

Field	Data	Notes
Atkin-Lehner	2+ 41-	Signs for the Atkin-Lehner involutions
Class	328b	Isogeny class
Conductor	328	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-1721344 = -1 · 210 · 412	Discriminant
Eigenvalues	2+  2  2 -2  2  6 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,8,60]	[a1,a2,a3,a4,a6]
j	48668/1681	j-invariant
L	2.0037539551538	L(r)(E,1)/r!
Ω	2.0037539551538	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	656b2 2624c2 2952f2 8200k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 328b2

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

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Quadratic twists for elliptic curve 328b2

-4	8	-3	5	-7	-11	13	17	-19	41
656b2	2624c2	2952f2	8200k2	16072c2	39688h2	55432c2	94792f2	118408d2	13448b2

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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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