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	41280bi	Isogeny class
Conductor	41280	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-133128000 = -1 · 26 · 32 · 53 · 432	Discriminant
Eigenvalues	2+ 3- 5+ -4  2 -6  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,124,-126]	[a1,a2,a3,a4,a6]
Generators	[2330:39861:8]	Generators of the group modulo torsion
j	3268147904/2080125	j-invariant
L	4.9274314621974	L(r)(E,1)/r!
Ω	1.0598399551578	Real period
R	4.6492222134224	Regulator
r	1	Rank of the group of rational points
S	1.000000000001	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	41280g1 20640r2 123840dj1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 41280bi1

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

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Quadratic twists for elliptic curve 41280bi1

-4	8	-3
41280g1	20640r2	123840dj1

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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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