Cremona's table of elliptic curves

4532 = 2² · 11 · 103

Field	Data	Notes
Atkin-Lehner	2- 11+ 103-	Signs for the Atkin-Lehner involutions
Class	4532a	Isogeny class
Conductor	4532	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	4800	Modular degree for the optimal curve
Δ	-437399055104 = -1 · 28 · 115 · 1032	Discriminant
Eigenvalues	2- -1 -1 -4 11+  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1299,-26663]	[a1,a2,a3,a4,a6]
Generators	[31:206:1]	Generators of the group modulo torsion
j	946186674176/1708590059	j-invariant
L	2.397442021237	L(r)(E,1)/r!
Ω	0.49306277206541	Real period
R	0.81039107562791	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	18128c1 72512j1 40788c1 113300c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4532a1

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	-1	-4	+	2	-2	4	9	6	7	5	6	-10	-8	-6	3	6	-7	-3	-6	10	-14	-15	-11

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Quadratic twists for elliptic curve 4532a1

-4	8	-3	5	-11
18128c1	72512j1	40788c1	113300c1	49852a1

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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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