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	25200fh	Isogeny class
Conductor	25200	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-983224811520000 = -1 · 221 · 37 · 54 · 73	Discriminant
Eigenvalues	2- 3- 5- 7+  6 -1 -3  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-50475,-4618150]	[a1,a2,a3,a4,a6]
j	-7620530425/526848	j-invariant
L	1.9035059666799	L(r)(E,1)/r!
Ω	0.15862549722331	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	3150br2 100800pd2 8400br2 25200es2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25200fh2

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	-1	-3	4	-3	-3	-5	-10	-9	1	0	-9	9	11	4	-12	-10	10	9	6	14

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Quadratic twists for elliptic curve 25200fh2

-4	8	-3	5
3150br2	100800pd2	8400br2	25200es2

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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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