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	11970r1 11970r2 11970r3 11970r4 11970r5 11970r6	Curves in isogeny class
deg	61440	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7+ -4  6 -2 19+	Hecke eigenvalues for primes less than 20
L	1.0996757387597	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	95760ea 3990bb 59850fh 83790cn	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 11970r

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	6	-2	+	8	2	8	-10	-10	4	8	10	4	-10	-4	-16	10	8	-12	6	2

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Quadratic twists for isogeny class 11970r

-4	-3	5	-7
95760ea	3990bb	59850fh	83790cn

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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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