Cremona's table of elliptic curves

13536 = 2⁵ · 3² · 47

Field	Data	Notes
Atkin-Lehner	2+ 3- 47-	Signs for the Atkin-Lehner involutions
Class	13536k	Isogeny class
Conductor	13536	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1602837393408 = 212 · 311 · 472	Discriminant
Eigenvalues	2+ 3-  0  0  0 -2 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-11100,445984]	[a1,a2,a3,a4,a6]
Generators	[53:81:1]	Generators of the group modulo torsion
j	50653000000/536787	j-invariant
L	4.5441948222044	L(r)(E,1)/r!
Ω	0.84792507838662	Real period
R	1.339798449779	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	13536x2 27072v1 4512l2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 13536k2

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

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Quadratic twists for elliptic curve 13536k2

-4	8	-3
13536x2	27072v1	4512l2

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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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