Cremona's table of elliptic curves

27600 = 2⁴ · 3 · 5² · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	27600y	Isogeny class
Conductor	27600	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	26864736000000 = 211 · 3 · 56 · 234	Discriminant
Eigenvalues	2+ 3- 5+ -4  0  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7608,52788]	[a1,a2,a3,a4,a6]
j	1522096994/839523	j-invariant
L	2.3187706620466	L(r)(E,1)/r!
Ω	0.57969266551159	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13800i3 110400gd3 82800bq3 1104a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 27600y3

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

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Quadratic twists for elliptic curve 27600y3

-4	8	-3	5
13800i3	110400gd3	82800bq3	1104a4

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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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