Cremona's table of elliptic curves

4270 = 2 · 5 · 7 · 61

Field	Data	Notes
Atkin-Lehner	2+ 5- 7- 61-	Signs for the Atkin-Lehner involutions
Conductor	4270	Conductor
Count	4	Number of curves in isogeny class
Curves	4270d1 4270d2 4270d3 4270d4	Curves in isogeny class
deg	2880	Modular degree for the optimal curve
Eigenvalues	2+ -2 5- 7-  0  2  6  8	Hecke eigenvalues for primes less than 20
L	1.1547969292246	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	34160bb 38430bl 21350s 29890e	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 4270d

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

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Quadratic twists for isogeny class 4270d

-4	-3	5	-7
34160bb	38430bl	21350s	29890e

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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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