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	9438i	Isogeny class
Conductor	9438	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	3433597354817342856 = 23 · 33 · 117 · 138	Discriminant
Eigenvalues	2+ 3+  2 -4 11- 13- -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1605309,777102165]	[a1,a2,a3,a4,a6]
Generators	[457:11569:1]	Generators of the group modulo torsion
j	258252149810350513/1938176193096	j-invariant
L	2.715238491294	L(r)(E,1)/r!
Ω	0.25188360514567	Real period
R	1.3474668635756	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	75504da4 28314ch4 858e3 122694cp4	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 9438i3

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	4	4	2	0	-2	-10	4	-4	2	-4	-10	-4	12	-2	4	12	2	2

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Quadratic twists for elliptic curve 9438i3

-4	-3	-11	13
75504da4	28314ch4	858e3	122694cp4

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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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