Cremona's table of elliptic curves

7200 = 2⁵ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5-	Signs for the Atkin-Lehner involutions
Class	7200z	Isogeny class
Conductor	7200	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-38263752000000000 = -1 · 212 · 314 · 59	Discriminant
Eigenvalues	2+ 3- 5- -4  0 -4  0  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-115500,17800000]	[a1,a2,a3,a4,a6]
Generators	[86:2916:1]	Generators of the group modulo torsion
j	-29218112/6561	j-invariant
L	3.5462439306273	L(r)(E,1)/r!
Ω	0.34818603870671	Real period
R	1.2731139162699	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	7200y2 14400fh1 2400bh2 7200bz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7200z2

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

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Quadratic twists for elliptic curve 7200z2

-4	8	-3	5
7200y2	14400fh1	2400bh2	7200bz2

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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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