Cremona's table of elliptic curves

45486 = 2 · 3² · 7 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 19+	Signs for the Atkin-Lehner involutions
Class	45486bd	Isogeny class
Conductor	45486	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	787968	Modular degree for the optimal curve
Δ	-687963616009494174 = -1 · 2 · 310 · 73 · 198	Discriminant
Eigenvalues	2- 3-  3 7+ -4  3  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-363956,-93369531]	[a1,a2,a3,a4,a6]
Generators	[369342214:7192689063:405224]	Generators of the group modulo torsion
j	-430638553/55566	j-invariant
L	11.150092204358	L(r)(E,1)/r!
Ω	0.096491777860409	Real period
R	9.62957021796	Regulator
r	1	Rank of the group of rational points
S	1.0000000000006	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15162c1 45486m1	Quadratic twists by: -3 -19

Hecke Eigenvalues for elliptic curve 45486bd1

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
-	-	3	+	-4	3	2	+	-1	0	-6	4	-4	-6	2	4	-13	5	-12	7	-2	-8	-17	-4	-10

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Quadratic twists for elliptic curve 45486bd1

-3	-19
15162c1	45486m1

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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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