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
Conductor	11040	Conductor
Count	4	Number of curves in isogeny class
Curves	11040b1 11040b2 11040b3 11040b4	Curves in isogeny class
deg	4096	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+  0  4 -6  6 -4	Hecke eigenvalues for primes less than 20
L	1.3916249755003	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	11040l 22080bn 33120bi 55200cd	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 11040b

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 isogeny class 11040b

-4	8	-3	5
11040l	22080bn	33120bi	55200cd

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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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