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	25200bf	Isogeny class
Conductor	25200	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	571536000000 = 210 · 36 · 56 · 72	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -4 -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4275,101250]	[a1,a2,a3,a4,a6]
Generators	[-51:432:1] [-45:450:1]	Generators of the group modulo torsion
j	740772/49	j-invariant
L	7.5831492643051	L(r)(E,1)/r!
Ω	0.90322961501472	Real period
R	1.0494492676955	Regulator
r	2	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12600cc2 100800lu2 2800a2 1008h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25200bf2

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

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Quadratic twists for elliptic curve 25200bf2

-4	8	-3	5
12600cc2	100800lu2	2800a2	1008h2

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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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