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	9438x	Isogeny class
Conductor	9438	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	64555891884198 = 2 · 34 · 119 · 132	Discriminant
Eigenvalues	2- 3-  0  0 11+ 13+  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-10953,-213597]	[a1,a2,a3,a4,a6]
Generators	[-474:4059:8]	Generators of the group modulo torsion
j	61629875/27378	j-invariant
L	7.7746185765324	L(r)(E,1)/r!
Ω	0.48630002680994	Real period
R	3.9968219966658	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	75504z2 28314i2 9438j2 122694bb2	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 9438x2

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

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Quadratic twists for elliptic curve 9438x2

-4	-3	-11	13
75504z2	28314i2	9438j2	122694bb2

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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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