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	19776bb	Isogeny class
Conductor	19776	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	99648258048 = 214 · 310 · 103	Discriminant
Eigenvalues	2- 3-  0 -4  4 -6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1873,26639]	[a1,a2,a3,a4,a6]
Generators	[-37:216:1]	Generators of the group modulo torsion
j	44376082000/6082047	j-invariant
L	5.162000425968	L(r)(E,1)/r!
Ω	1.0236025879771	Real period
R	0.50429732071796	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	19776d2 4944c2 59328be2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 19776bb2

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

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Quadratic twists for elliptic curve 19776bb2

-4	8	-3
19776d2	4944c2	59328be2

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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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