Cremona's table of elliptic curves

670 = 2 · 5 · 67

Field	Data	Notes
Atkin-Lehner	2+ 5- 67-	Signs for the Atkin-Lehner involutions
Conductor	670	Conductor
Count	2	Number of curves in isogeny class
Curves	670b1 670b2	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2+ -2 5- -1  3 -4  0  2	Hecke eigenvalues for primes less than 20
L	1.3009484555499	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	5360o 21440d 6030u 3350e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 670b

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	-	-1	3	-4	0	2	0	-6	2	-7	-12	-4	0	-6	-12	11	-	-9	-10	2	-3	-3	5

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Quadratic twists for isogeny class 670b

-4	8	-3	5	-7	-11	13	-67
5360o	21440d	6030u	3350e	32830b	81070x	113230p	44890l

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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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