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	25200cn	Isogeny class
Conductor	25200	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	21504	Modular degree for the optimal curve
Δ	-459270000 = -1 · 24 · 38 · 54 · 7	Discriminant
Eigenvalues	2+ 3- 5- 7- -5  4 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2775,-56275]	[a1,a2,a3,a4,a6]
j	-324179200/63	j-invariant
L	1.9733312758464	L(r)(E,1)/r!
Ω	0.3288885459744	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	12600bd1 100800px1 8400q1 25200bj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25200cn1

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
+	-	-	-	-5	4	-2	-4	9	5	-2	-11	-8	11	12	10	12	-12	-3	3	-6	-7	-2	-8	10

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Quadratic twists for elliptic curve 25200cn1

-4	8	-3	5
12600bd1	100800px1	8400q1	25200bj1

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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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