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	8	Product of Tamagawa factors cp
deg	12672	Modular degree for the optimal curve
Δ	-1103519519388 = -1 · 22 · 32 · 119 · 13	Discriminant
Eigenvalues	2- 3-  0  0 11+ 13+  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,2357,-24595]	[a1,a2,a3,a4,a6]
Generators	[24328:214069:512]	Generators of the group modulo torsion
j	614125/468	j-invariant
L	7.7746185765324	L(r)(E,1)/r!
Ω	0.48630002680994	Real period
R	7.9936439933315	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	75504z1 28314i1 9438j1 122694bb1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 9438x1

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 9438x1

-4	-3	-11	13
75504z1	28314i1	9438j1	122694bb1

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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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