Cremona's table of elliptic curves

11970 = 2 · 3² · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+ 19+	Signs for the Atkin-Lehner involutions
Conductor	11970	Conductor
Count	6	Number of curves in isogeny class
Curves	11970q1 11970q2 11970q3 11970q4 11970q5 11970q6	Curves in isogeny class
deg	73728	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7+  4 -2 -2 19+	Hecke eigenvalues for primes less than 20
L	1.1321328662819	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	95760ec 3990t 59850fg 83790cj	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 11970q

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
+	-	+	+	4	-2	-2	+	0	2	8	-2	6	-4	8	-6	12	-10	-12	8	-6	-8	-12	6	18

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Quadratic twists for isogeny class 11970q

-4	-3	5	-7
95760ec	3990t	59850fg	83790cj

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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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