Cremona's table of elliptic curves

100800 = 2⁶ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	100800me	Isogeny class
Conductor	100800	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-5.1640810647552E+19	Discriminant
Eigenvalues	2- 3- 5+ 7+ -4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-489900,-370078000]	[a1,a2,a3,a4,a6]
Generators	[8165:734825:1]	Generators of the group modulo torsion
j	-4354703137/17294403	j-invariant
L	4.9141657935943	L(r)(E,1)/r!
Ω	0.082362027856455	Real period
R	7.4581787253595	Regulator
r	1	Rank of the group of rational points
S	1.0000000004278	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	100800fm5 25200dx5 33600em5 4032bm6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800me5

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	4	0	-2	0	6	-2	4	0	-6	-12	2	-4	0	6	16	-12	14	-18

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Quadratic twists for elliptic curve 100800me5

-4	8	-3	5
100800fm5	25200dx5	33600em5	4032bm6

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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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