Cremona's table of elliptic curves

7446 = 2 · 3 · 17 · 73

Field	Data	Notes
Atkin-Lehner	2+ 3- 17+ 73-	Signs for the Atkin-Lehner involutions
Class	7446f	Isogeny class
Conductor	7446	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	437467392 = 28 · 34 · 172 · 73	Discriminant
Eigenvalues	2+ 3- -2 -2 -2  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-392,2774]	[a1,a2,a3,a4,a6]
Generators	[6:22:1]	Generators of the group modulo torsion
j	6637252523257/437467392	j-invariant
L	2.9608415610986	L(r)(E,1)/r!
Ω	1.6425091612434	Real period
R	0.4506583023953	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	59568s1 22338n1 126582b1	Quadratic twists by: -4 -3 17

Hecke Eigenvalues for elliptic curve 7446f1

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	-2	-2	2	+	0	8	-2	2	-6	6	-2	2	6	6	2	-8	4	-	-16	-10	10	-2

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Quadratic twists for elliptic curve 7446f1

-4	-3	17
59568s1	22338n1	126582b1

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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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