Cremona's table of elliptic curves

11040 = 2⁵ · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	11040l	Isogeny class
Conductor	11040	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	3090493440 = 212 · 38 · 5 · 23	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-721,-7201]	[a1,a2,a3,a4,a6]
Generators	[-13:12:1]	Generators of the group modulo torsion
j	10133786944/754515	j-invariant
L	4.8225046362642	L(r)(E,1)/r!
Ω	0.92555920714433	Real period
R	0.65129607579932	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	11040b3 22080n1 33120s3 55200f3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11040l2

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

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Quadratic twists for elliptic curve 11040l2

-4	8	-3	5
11040b3	22080n1	33120s3	55200f3

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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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