Cremona's table of elliptic curves

20328 = 2³ · 3 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11+	Signs for the Atkin-Lehner involutions
Class	20328u	Isogeny class
Conductor	20328	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2129622900185088 = 211 · 32 · 72 · 119	Discriminant
Eigenvalues	2- 3-  2 7+ 11+  2  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-47472,-3320352]	[a1,a2,a3,a4,a6]
Generators	[-3087137:20060586:24389]	Generators of the group modulo torsion
j	2450086/441	j-invariant
L	7.167684613542	L(r)(E,1)/r!
Ω	0.32743838806608	Real period
R	10.945089022512	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	40656o2 60984o2 20328g2	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 20328u2

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	4	-4	-6	2	-2	2	0	-6	-12	0	-12	-2	4	-6	10	-16	6	-6	-6

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Quadratic twists for elliptic curve 20328u2

-4	-3	-11
40656o2	60984o2	20328g2

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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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