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
Δ	-3442688 = -1 · 211 · 412	Discriminant
Eigenvalues	2+  0 -2 -2  0 -4 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,29,-66]	[a1,a2,a3,a4,a6]
Generators	[6:18:1]	Generators of the group modulo torsion
j	1317006/1681	j-invariant
L	1.5196480442746	L(r)(E,1)/r!
Ω	1.3391964329818	Real period
R	2.2694923714678	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	656a2 2624a2 2952h2 8200f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 328a2

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 328a2

-4	8	-3	5	-7	-11	13	17	-19	41
656a2	2624a2	2952h2	8200f2	16072e2	39688j2	55432d2	94792h2	118408e2	13448a2

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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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