Cremona's table of elliptic curves

4545 = 3² · 5 · 101

Field	Data	Notes
Atkin-Lehner	3+ 5- 101-	Signs for the Atkin-Lehner involutions
Class	4545b	Isogeny class
Conductor	4545	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	1568	Modular degree for the optimal curve
Δ	-213046875 = -1 · 33 · 57 · 101	Discriminant
Eigenvalues	-1 3+ 5-  3 -1 -4 -3  3	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-107,-794]	[a1,a2,a3,a4,a6]
Generators	[16:29:1]	Generators of the group modulo torsion
j	-4973940243/7890625	j-invariant
L	2.7203908422498	L(r)(E,1)/r!
Ω	0.7037515389181	Real period
R	0.27611112849287	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	72720be1 4545a1 22725c1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 4545b1

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
-1	+	-	3	-1	-4	-3	3	9	-6	-7	-4	-5	-6	-3	-6	12	-10	11	8	1	-17	-6	-11	12

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Quadratic twists for elliptic curve 4545b1

-4	-3	5
72720be1	4545a1	22725c1

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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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