Cremona's table of elliptic curves

328 = 2³ · 41

Field	Data	Notes
Atkin-Lehner	2+ 41+	Signs for the Atkin-Lehner involutions
Class	328a	Isogeny class
Conductor	328	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	16	Modular degree for the optimal curve
Δ	41984 = 210 · 41	Discriminant
Eigenvalues	2+  0 -2 -2  0 -4 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-11,-10]	[a1,a2,a3,a4,a6]
Generators	[-2:2:1]	Generators of the group modulo torsion
j	143748/41	j-invariant
L	1.5196480442746	L(r)(E,1)/r!
Ω	2.6783928659637	Real period
R	1.1347461857339	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	656a1 2624a1 2952h1 8200f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 328a1

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	-2	-2	0	-4	-2	4	-4	0	4	-6	+	12	-6	-4	-4	10	12	-6	-2	-2	-4	-6	14

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Quadratic twists for elliptic curve 328a1

-4	8	-3	5	-7	-11	13	17	-19	41
656a1	2624a1	2952h1	8200f1	16072e1	39688j1	55432d1	94792h1	118408e1	13448a1

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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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