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	4522i	Isogeny class
Conductor	4522	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	9360	Modular degree for the optimal curve
Δ	-340622082836 = -1 · 22 · 7 · 173 · 195	Discriminant
Eigenvalues	2-  3  1 7-  4 -2 17+ 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,663,27133]	[a1,a2,a3,a4,a6]
j	32275892242719/340622082836	j-invariant
L	7.0688266164854	L(r)(E,1)/r!
Ω	0.70688266164854	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	36176o1 40698r1 113050o1 31654v1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4522i1

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	-2	+	-	1	3	-5	-1	-2	-8	-3	4	-4	-13	9	-6	10	8	-13	-15	6

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Quadratic twists for elliptic curve 4522i1

-4	-3	5	-7	17	-19
36176o1	40698r1	113050o1	31654v1	76874y1	85918n1

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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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