Cremona's table of elliptic curves

4522 = 2 · 7 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2+ 7+ 17+ 19+	Signs for the Atkin-Lehner involutions
Class	4522a	Isogeny class
Conductor	4522	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	49392	Modular degree for the optimal curve
Δ	-1573315943284736 = -1 · 214 · 77 · 17 · 193	Discriminant
Eigenvalues	2+ -3  1 7+  4  6 17+ 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,22196,-1427504]	[a1,a2,a3,a4,a6]
Generators	[376:7556:1]	Generators of the group modulo torsion
j	1209307801035716199/1573315943284736	j-invariant
L	1.885978143019	L(r)(E,1)/r!
Ω	0.25389509850702	Real period
R	3.7140893111153	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	36176z1 40698bg1 113050ci1 31654k1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4522a1

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	1	+	4	6	+	+	-5	3	-7	-1	6	-8	-13	0	4	-5	11	-2	2	-4	9	-15	-2

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Quadratic twists for elliptic curve 4522a1

-4	-3	5	-7	17	-19
36176z1	40698bg1	113050ci1	31654k1	76874h1	85918bd1

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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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