Cremona's table of elliptic curves

41280 = 2⁶ · 3 · 5 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 43+	Signs for the Atkin-Lehner involutions
Class	41280d	Isogeny class
Conductor	41280	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	596558662242140160 = 221 · 32 · 5 · 436	Discriminant
Eigenvalues	2+ 3+ 5+  2  6 -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-331681,-63331295]	[a1,a2,a3,a4,a6]
Generators	[-138593:732096:343]	Generators of the group modulo torsion
j	15393836938735081/2275690697640	j-invariant
L	5.5294243946833	L(r)(E,1)/r!
Ω	0.20090604640507	Real period
R	6.8806097347796	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	41280db4 1290g4 123840cp4	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 41280d4

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

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Quadratic twists for elliptic curve 41280d4

-4	8	-3
41280db4	1290g4	123840cp4

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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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