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	16240t	Isogeny class
Conductor	16240	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-1064304640 = -1 · 220 · 5 · 7 · 29	Discriminant
Eigenvalues	2-  0 5- 7-  0 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,253,-254]	[a1,a2,a3,a4,a6]
Generators	[12315:263168:27]	Generators of the group modulo torsion
j	437245479/259840	j-invariant
L	5.0523072990184	L(r)(E,1)/r!
Ω	0.90813814590967	Real period
R	5.5633686590244	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	2030a1 64960bf1 81200be1 113680bd1	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 16240t1

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

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Quadratic twists for elliptic curve 16240t1

-4	8	5	-7
2030a1	64960bf1	81200be1	113680bd1

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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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