Cremona's table of elliptic curves

9438 = 2 · 3 · 11² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 11- 13+	Signs for the Atkin-Lehner involutions
Class	9438u	Isogeny class
Conductor	9438	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	4525799687076096 = 28 · 310 · 116 · 132	Discriminant
Eigenvalues	2- 3+  2 -4 11- 13+ -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-157242,-23845689]	[a1,a2,a3,a4,a6]
Generators	[545:6987:1]	Generators of the group modulo torsion
j	242702053576633/2554695936	j-invariant
L	5.6691741776887	L(r)(E,1)/r!
Ω	0.23990181360044	Real period
R	2.9539033556092	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	75504cm2 28314u2 78a2 122694x2	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 9438u2

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	-	+	-2	8	0	-6	-4	-2	10	-4	8	-10	4	2	-16	-8	-2	-8	-12	14	10

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Quadratic twists for elliptic curve 9438u2

-4	-3	-11	13
75504cm2	28314u2	78a2	122694x2

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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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