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	2	Product of Tamagawa factors cp
deg	24	Modular degree for the optimal curve
Δ	10496 = 28 · 41	Discriminant
Eigenvalues	2+  2  2 -2  2  6 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12,20]	[a1,a2,a3,a4,a6]
j	810448/41	j-invariant
L	2.0037539551538	L(r)(E,1)/r!
Ω	4.0075079103075	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	656b1 2624c1 2952f1 8200k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 328b1

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 328b1

-4	8	-3	5	-7	-11	13	17	-19	41
656b1	2624c1	2952f1	8200k1	16072c1	39688h1	55432c1	94792f1	118408d1	13448b1

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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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