Cremona's table of elliptic curves

8400 = 2⁴ · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	8400ce	Isogeny class
Conductor	8400	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-8.6821875E+20	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,291592,1416463188]	[a1,a2,a3,a4,a6]
j	42841933504271/13565917968750	j-invariant
L	2.9408369087207	L(r)(E,1)/r!
Ω	0.1225348711967	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	1050a8 33600ex7 25200ef7 1680k8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8400ce8

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
-	-	+	-	0	-2	6	4	0	-6	4	-2	6	8	-12	-6	12	2	8	0	-14	16	12	6	-14

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Quadratic twists for elliptic curve 8400ce8

-4	8	-3	5	-7
1050a8	33600ex7	25200ef7	1680k8	58800fd7

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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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