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	25200dr	Isogeny class
Conductor	25200	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	64512	Modular degree for the optimal curve
Δ	-19451756242800 = -1 · 24 · 310 · 52 · 77	Discriminant
Eigenvalues	2- 3- 5+ 7+ -1  2  8  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-36165,2655655]	[a1,a2,a3,a4,a6]
Generators	[14:1467:1]	Generators of the group modulo torsion
j	-17939139239680/66706983	j-invariant
L	5.438235064044	L(r)(E,1)/r!
Ω	0.68886277301945	Real period
R	3.9472557358608	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6300m1 100800lf1 8400bz1 25200fl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25200dr1

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
-	-	+	+	-1	2	8	2	-1	-1	-6	-9	0	-1	-6	2	-6	8	-3	7	-16	-1	6	14	-14

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Quadratic twists for elliptic curve 25200dr1

-4	8	-3	5
6300m1	100800lf1	8400bz1	25200fl1

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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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