Cremona's table of elliptic curves

39600 = 2⁴ · 3² · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	39600ci	Isogeny class
Conductor	39600	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-7.1413012813824E+23	Discriminant
Eigenvalues	2- 3+ 5+ -4 11-  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,22004325,-8641005750]	[a1,a2,a3,a4,a6]
Generators	[445:35200:1]	Generators of the group modulo torsion
j	935355271080573/566899520000	j-invariant
L	4.8234216144133	L(r)(E,1)/r!
Ω	0.052439956588139	Real period
R	1.9162477781879	Regulator
r	1	Rank of the group of rational points
S	0.99999999999983	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4950x4 39600cb2 7920x4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 39600ci4

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	-	4	-6	-2	6	6	-8	-2	6	-10	6	6	0	8	-4	-6	-14	16	-12	0	-14

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Quadratic twists for elliptic curve 39600ci4

-4	-3	5
4950x4	39600cb2	7920x4

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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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