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	13776bd	Isogeny class
Conductor	13776	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	491905032192 = 213 · 36 · 72 · 412	Discriminant
Eigenvalues	2- 3- -4 7- -6  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-124320,16830324]	[a1,a2,a3,a4,a6]
Generators	[162:984:1]	Generators of the group modulo torsion
j	51878840608939681/120094002	j-invariant
L	4.0762210396525	L(r)(E,1)/r!
Ω	0.80461066153538	Real period
R	0.21108661796098	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	1722l2 55104cq2 41328cf2 96432bi2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13776bd2

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

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Quadratic twists for elliptic curve 13776bd2

-4	8	-3	-7
1722l2	55104cq2	41328cf2	96432bi2

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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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