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	9840u	Isogeny class
Conductor	9840	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	265680 = 24 · 34 · 5 · 41	Discriminant
Eigenvalues	2- 3+ 5- -4  2  6 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-65,-180]	[a1,a2,a3,a4,a6]
Generators	[644:585:64]	Generators of the group modulo torsion
j	1927561216/16605	j-invariant
L	3.6461901419159	L(r)(E,1)/r!
Ω	1.6801248634998	Real period
R	4.3403799576188	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	2460c1 39360cm1 29520bs1 49200dc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9840u1

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

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Quadratic twists for elliptic curve 9840u1

-4	8	-3	5
2460c1	39360cm1	29520bs1	49200dc1

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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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