Cremona's table of elliptic curves

20280 = 2³ · 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 13+	Signs for the Atkin-Lehner involutions
Class	20280d	Isogeny class
Conductor	20280	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	187944358118400 = 210 · 32 · 52 · 138	Discriminant
Eigenvalues	2+ 3+ 5+ -4 -4 13+  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-87936,10044540]	[a1,a2,a3,a4,a6]
Generators	[9:3042:1]	Generators of the group modulo torsion
j	15214885924/38025	j-invariant
L	2.7392879468297	L(r)(E,1)/r!
Ω	0.56918621875722	Real period
R	2.4063196336787	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	40560t2 60840ca2 101400di2 1560k2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 20280d2

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
+	+	+	-4	-4	+	6	0	-4	-6	8	2	-10	-4	-8	-2	-4	14	12	8	10	0	4	-10	2

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Quadratic twists for elliptic curve 20280d2

-4	-3	5	13
40560t2	60840ca2	101400di2	1560k2

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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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