Cremona's table of elliptic curves

9840 = 2⁴ · 3 · 5 · 41

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 41+	Signs for the Atkin-Lehner involutions
Class	9840i	Isogeny class
Conductor	9840	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	-92622768641280000 = -1 · 211 · 316 · 54 · 412	Discriminant
Eigenvalues	2+ 3- 5- -2 -4 -4  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-63000,15836148]	[a1,a2,a3,a4,a6]
Generators	[396:-7290:1]	Generators of the group modulo torsion
j	-13502752327134002/45225961250625	j-invariant
L	5.1125747945512	L(r)(E,1)/r!
Ω	0.29689213941903	Real period
R	0.26906734991766	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4920b2 39360bp2 29520o2 49200c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9840i2

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
+	-	-	-2	-4	-4	6	0	-4	8	4	2	+	4	-6	-4	-4	-6	0	10	14	-10	-12	-6	6

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Quadratic twists for elliptic curve 9840i2

-4	8	-3	5
4920b2	39360bp2	29520o2	49200c2

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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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