Cremona's table of elliptic curves

20640 = 2⁵ · 3 · 5 · 43

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 43+	Signs for the Atkin-Lehner involutions
Class	20640m	Isogeny class
Conductor	20640	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	42600960 = 29 · 32 · 5 · 432	Discriminant
Eigenvalues	2- 3+ 5+ -2  2  6  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-96,216]	[a1,a2,a3,a4,a6]
j	193100552/83205	j-invariant
L	1.8319811667256	L(r)(E,1)/r!
Ω	1.8319811667256	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	20640w2 41280dr2 61920t2 103200z2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20640m2

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	6	0	-2	6	2	0	6	10	+	-2	-2	6	0	12	8	8	0	-16	18	14

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Quadratic twists for elliptic curve 20640m2

-4	8	-3	5
20640w2	41280dr2	61920t2	103200z2

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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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