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	13776o	Isogeny class
Conductor	13776	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	243060658176 = 212 · 3 · 7 · 414	Discriminant
Eigenvalues	2- 3-  2 7+  0  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2352,-37740]	[a1,a2,a3,a4,a6]
Generators	[188:2490:1]	Generators of the group modulo torsion
j	351447414193/59340981	j-invariant
L	6.4898915282858	L(r)(E,1)/r!
Ω	0.69340776596054	Real period
R	4.6797078478748	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	861a4 55104bt3 41328bo3 96432bu3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13776o3

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

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Quadratic twists for elliptic curve 13776o3

-4	8	-3	-7
861a4	55104bt3	41328bo3	96432bu3

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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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