Cremona's table of elliptic curves

2170 = 2 · 5 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 31-	Signs for the Atkin-Lehner involutions
Conductor	2170	Conductor
Count	4	Number of curves in isogeny class
Curves	2170n1 2170n2 2170n3 2170n4	Curves in isogeny class
deg	3456	Modular degree for the optimal curve
Eigenvalues	2- -2 5+ 7-  6  2 -6 -4	Hecke eigenvalues for primes less than 20
L	1.8525296357428	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	17360s 69440ca 19530bh 10850i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2170n

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

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Quadratic twists for isogeny class 2170n

-4	8	-3	5	-7	-31
17360s	69440ca	19530bh	10850i	15190be	67270bg

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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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