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	20328l	Isogeny class
Conductor	20328	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	122880	Modular degree for the optimal curve
Δ	-3764869055684352 = -1 · 28 · 34 · 7 · 1110	Discriminant
Eigenvalues	2+ 3-  2 7- 11- -6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,3348,2952288]	[a1,a2,a3,a4,a6]
j	9148592/8301447	j-invariant
L	2.7628651416235	L(r)(E,1)/r!
Ω	0.34535814270293	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	40656k1 60984cj1 1848k1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 20328l1

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	-	-	-6	-6	0	-8	2	4	-2	2	12	12	6	4	-6	4	0	2	-8	0	-6	18

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Quadratic twists for elliptic curve 20328l1

-4	-3	-11
40656k1	60984cj1	1848k1

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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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