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	16240i	Isogeny class
Conductor	16240	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	-1299200 = -1 · 28 · 52 · 7 · 29	Discriminant
Eigenvalues	2+  1 5- 7- -6 -4 -6 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-145,-725]	[a1,a2,a3,a4,a6]
j	-1326109696/5075	j-invariant
L	1.3747026329575	L(r)(E,1)/r!
Ω	0.68735131647875	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8120d1 64960bi1 81200h1 113680f1	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 16240i1

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
+	1	-	-	-6	-4	-6	-3	3	-	-4	2	9	6	3	3	0	-2	9	-5	-7	2	6	11	9

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Quadratic twists for elliptic curve 16240i1

-4	8	5	-7
8120d1	64960bi1	81200h1	113680f1

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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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