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	9438l	Isogeny class
Conductor	9438	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-93247399388286 = -1 · 2 · 32 · 119 · 133	Discriminant
Eigenvalues	2+ 3- -3 -5 11- 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-74660,7859432]	[a1,a2,a3,a4,a6]
Generators	[54:1969:1]	Generators of the group modulo torsion
j	-25979045828113/52635726	j-invariant
L	2.3519858858573	L(r)(E,1)/r!
Ω	0.60259917919272	Real period
R	0.4878835648698	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	75504bq2 28314bx2 858j2 122694dg2	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 9438l2

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
+	-	-3	-5	-	+	0	-2	3	3	8	-10	3	-5	12	-6	-9	13	5	6	7	10	-6	0	-10

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Quadratic twists for elliptic curve 9438l2

-4	-3	-11	13
75504bq2	28314bx2	858j2	122694dg2

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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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