Cremona's table of elliptic curves

25200 = 2⁴ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	25200dz	Isogeny class
Conductor	25200	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	5.67106596E+22	Discriminant
Eigenvalues	2- 3- 5+ 7+ -4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-27180075,-53324099750]	[a1,a2,a3,a4,a6]
Generators	[-413645:2443194:125]	Generators of the group modulo torsion
j	47595748626367201/1215506250000	j-invariant
L	4.9252766048439	L(r)(E,1)/r!
Ω	0.066223691035502	Real period
R	9.2966665853077	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3150bk4 100800lv3 8400cc4 5040bi3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25200dz3

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

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Quadratic twists for elliptic curve 25200dz3

-4	8	-3	5
3150bk4	100800lv3	8400cc4	5040bi3

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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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