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	27600ch	Isogeny class
Conductor	27600	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1.879463646744E+22	Discriminant
Eigenvalues	2- 3- 5+  0 -4  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-10332008,10946135988]	[a1,a2,a3,a4,a6]
Generators	[294714:-17835000:343]	Generators of the group modulo torsion
j	1905890658841300321/293666194803750	j-invariant
L	6.5675404709303	L(r)(E,1)/r!
Ω	0.11713111128112	Real period
R	7.0087489983428	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	3450d5 110400fl6 82800du6 5520u5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 27600ch6

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	2	6	-4	+	-2	0	2	10	-4	0	-6	4	-10	-12	8	-10	8	-4	18	-2

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Quadratic twists for elliptic curve 27600ch6

-4	8	-3	5
3450d5	110400fl6	82800du6	5520u5

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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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