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	25200eu	Isogeny class
Conductor	25200	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	9001692000000 = 28 · 38 · 56 · 73	Discriminant
Eigenvalues	2- 3- 5+ 7- -6 -2  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-411375,-101555750]	[a1,a2,a3,a4,a6]
j	2640279346000/3087	j-invariant
L	1.1310748915617	L(r)(E,1)/r!
Ω	0.18851248192692	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6300j4 100800oe4 8400ci4 1008j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25200eu4

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

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Quadratic twists for elliptic curve 25200eu4

-4	8	-3	5
6300j4	100800oe4	8400ci4	1008j4

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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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