Cremona's table of elliptic curves

11165 = 5 · 7 · 11 · 29

Field	Data	Notes
Atkin-Lehner	5- 7- 11- 29+	Signs for the Atkin-Lehner involutions
Class	11165f	Isogeny class
Conductor	11165	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-157813780355 = -1 · 5 · 76 · 11 · 293	Discriminant
Eigenvalues	0  1 5- 7- 11- -1  6  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-995,-22946]	[a1,a2,a3,a4,a6]
j	-109050926104576/157813780355	j-invariant
L	2.4235602581586	L(r)(E,1)/r!
Ω	0.40392670969309	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	100485l2 55825g2 78155d2 122815l2	Quadratic twists by: -3 5 -7 -11

Hecke Eigenvalues for elliptic curve 11165f2

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	1	-	-	-	-1	6	5	6	+	-10	5	6	8	-3	-6	-12	5	14	-15	8	-1	15	0	-10

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Quadratic twists for elliptic curve 11165f2

-3	5	-7	-11
100485l2	55825g2	78155d2	122815l2

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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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