Cremona's table of elliptic curves

16240 = 2⁴ · 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 29+	Signs for the Atkin-Lehner involutions
Class	16240j	Isogeny class
Conductor	16240	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	133240423904000 = 28 · 53 · 7 · 296	Discriminant
Eigenvalues	2-  2 5+ 7+  6  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12796,-40404]	[a1,a2,a3,a4,a6]
j	905191319325904/520470405875	j-invariant
L	3.904444521952	L(r)(E,1)/r!
Ω	0.48805556524399	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4060c4 64960bu4 81200bq4 113680bo4	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 16240j4

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

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Quadratic twists for elliptic curve 16240j4

-4	8	5	-7
4060c4	64960bu4	81200bq4	113680bo4

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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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