Cremona's table of elliptic curves

2210 = 2 · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 13+ 17+	Signs for the Atkin-Lehner involutions
Conductor	2210	Conductor
Count	2	Number of curves in isogeny class
Curves	2210f1 2210f2	Curves in isogeny class
deg	1280	Modular degree for the optimal curve
Eigenvalues	2- -2 5- -2  0 13+ 17+  4	Hecke eigenvalues for primes less than 20
L	3.3216287650319	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	17680k 70720k 19890f 11050i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2210f

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

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Quadratic twists for isogeny class 2210f

-4	8	-3	5	-7	13	17
17680k	70720k	19890f	11050i	108290be	28730f	37570h

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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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