Cremona's table of elliptic curves

3600 = 2⁴ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+	Signs for the Atkin-Lehner involutions
Class	3600k	Isogeny class
Conductor	3600	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	209952000000 = 211 · 38 · 56	Discriminant
Eigenvalues	2+ 3- 5+  0  4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-86475,-9787750]	[a1,a2,a3,a4,a6]
j	3065617154/9	j-invariant
L	2.2272397836272	L(r)(E,1)/r!
Ω	0.27840497295339	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1800s5 14400ds5 1200a5 144b5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3600k5

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

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Quadratic twists for elliptic curve 3600k5

-4	8	-3	5
1800s5	14400ds5	1200a5	144b5

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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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