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	9840ba	Isogeny class
Conductor	9840	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	11293737984000 = 213 · 38 · 53 · 412	Discriminant
Eigenvalues	2- 3- 5-  2 -2 -2 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-22440,-1291212]	[a1,a2,a3,a4,a6]
Generators	[-84:90:1]	Generators of the group modulo torsion
j	305106651317161/2757260250	j-invariant
L	5.8328157992323	L(r)(E,1)/r!
Ω	0.39028249407133	Real period
R	0.62271302281435	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	1230a2 39360bt2 29520bi2 49200ca2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9840ba2

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	-2	-2	-4	-2	0	-4	0	-6	-	4	-6	10	0	-14	4	0	-14	12	-4	6	-16

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Quadratic twists for elliptic curve 9840ba2

-4	8	-3	5
1230a2	39360bt2	29520bi2	49200ca2

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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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