Cremona's table of elliptic curves

53280 = 2⁵ · 3² · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 37-	Signs for the Atkin-Lehner involutions
Class	53280cc	Isogeny class
Conductor	53280	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	36696468718080 = 29 · 318 · 5 · 37	Discriminant
Eigenvalues	2- 3- 5- -4 -4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-19947,-1044434]	[a1,a2,a3,a4,a6]
Generators	[390:7106:1]	Generators of the group modulo torsion
j	2351575819592/98316585	j-invariant
L	4.9578155219273	L(r)(E,1)/r!
Ω	0.40276306206694	Real period
R	6.154754480775	Regulator
r	1	Rank of the group of rational points
S	1.0000000000066	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	53280cb3 106560en4 17760m3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 53280cc3

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	-4	-2	2	4	8	-2	0	-	-10	4	0	2	4	-14	-4	-8	2	0	-12	-6	-2

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Quadratic twists for elliptic curve 53280cc3

-4	8	-3
53280cb3	106560en4	17760m3

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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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