Cremona's table of elliptic curves

1040 = 2⁴ · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5+ 13+	Signs for the Atkin-Lehner involutions
Conductor	1040	Conductor
Count	4	Number of curves in isogeny class
Curves	1040a1 1040a2 1040a3 1040a4	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2+  0 5+  0  4 13+ -6 -4	Hecke eigenvalues for primes less than 20
L	2.3676351838733	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	520a 4160o 9360r 5200e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1040a

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	+	0	4	+	-6	-4	0	-2	4	-6	-6	-8	0	2	-4	-10	-12	4	14	16	-12	2	-2

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Quadratic twists for isogeny class 1040a

-4	8	-3	5	-7	-11	13
520a	4160o	9360r	5200e	50960j	125840i	13520h

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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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