Cremona's table of elliptic curves

13776 = 2⁴ · 3 · 7 · 41

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 41-	Signs for the Atkin-Lehner involutions
Class	13776j	Isogeny class
Conductor	13776	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	109312229376 = 214 · 34 · 72 · 412	Discriminant
Eigenvalues	2- 3+  2 7-  0  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-27552,-1751040]	[a1,a2,a3,a4,a6]
j	564727473247393/26687556	j-invariant
L	2.9644981054293	L(r)(E,1)/r!
Ω	0.37056226317867	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1722o2 55104dj2 41328ca2 96432cn2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13776j2

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	-	0	6	2	4	0	2	8	6	-	-4	8	-6	0	10	-8	-8	-6	16	0	10	2

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Quadratic twists for elliptic curve 13776j2

-4	8	-3	-7
1722o2	55104dj2	41328ca2	96432cn2

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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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