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	10640f1 10640f2 10640f3 10640f4	Curves in isogeny class
deg	138240	Modular degree for the optimal curve
Eigenvalues	2+  0 5- 7+ -4 -2  2 19-	Hecke eigenvalues for primes less than 20
L	4.1755937698099	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	5320e 42560bw 95760v 53200r	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 10640f

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

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Quadratic twists for isogeny class 10640f

-4	8	-3	5	-7
5320e	42560bw	95760v	53200r	74480c

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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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