Cremona's table of elliptic curves

10640 = 2⁴ · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 19-	Signs for the Atkin-Lehner involutions
Conductor	10640	Conductor
Count	4	Number of curves in isogeny class
Curves	10640l1 10640l2 10640l3 10640l4	Curves in isogeny class
deg	5760	Modular degree for the optimal curve
Eigenvalues	2-  0 5+ 7+ -4  2 -2 19-	Hecke eigenvalues for primes less than 20
L	3.5449524700918	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1330c 42560cu 95760ew 53200cp	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 10640l

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	2	-2	-	0	10	8	-6	10	-8	0	10	-4	2	12	-4	-2	-12	-12	-6	10

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Quadratic twists for isogeny class 10640l

-4	8	-3	5	-7
1330c	42560cu	95760ew	53200cp	74480cd

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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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