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	11970t1 11970t2 11970t3 11970t4 11970t5 11970t6	Curves in isogeny class
deg	24576	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7+ -4 -2 -2 19-	Hecke eigenvalues for primes less than 20
L	2.5825981702816	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	95760dm 3990u 59850fr 83790by	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 11970t

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

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Quadratic twists for isogeny class 11970t

-4	-3	5	-7
95760dm	3990u	59850fr	83790by

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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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