Cremona's table of elliptic curves

19776 = 2⁶ · 3 · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 103+	Signs for the Atkin-Lehner involutions
Class	19776ba	Isogeny class
Conductor	19776	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-6874843840512 = -1 · 221 · 3 · 1033	Discriminant
Eigenvalues	2- 3-  0  4 -3 -2 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,3487,-96993]	[a1,a2,a3,a4,a6]
Generators	[44451:320064:1331]	Generators of the group modulo torsion
j	17881958375/26225448	j-invariant
L	6.723407980958	L(r)(E,1)/r!
Ω	0.3963918507937	Real period
R	8.4807595911669	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	19776e2 4944b2 59328bd2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 19776ba2

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	4	-3	-2	-6	-1	9	-9	1	-5	0	2	6	12	-12	-8	14	12	-16	-2	12	3	-1

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Quadratic twists for elliptic curve 19776ba2

-4	8	-3
19776e2	4944b2	59328bd2

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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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