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	25200cw	Isogeny class
Conductor	25200	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-10164873600000000 = -1 · 213 · 33 · 58 · 76	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0 -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-30075,-5249750]	[a1,a2,a3,a4,a6]
Generators	[405:-7000:1]	Generators of the group modulo torsion
j	-1740992427/5882450	j-invariant
L	5.4420073661317	L(r)(E,1)/r!
Ω	0.16668674272325	Real period
R	0.6801689900997	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	3150w2 100800jo2 25200cx4 5040u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25200cw2

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

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Quadratic twists for elliptic curve 25200cw2

-4	8	-3	5
3150w2	100800jo2	25200cx4	5040u2

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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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