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	4522j	Isogeny class
Conductor	4522	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	8610030063152 = 24 · 78 · 173 · 19	Discriminant
Eigenvalues	2-  0 -2 7-  4 -2 17- 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-7965661,-8651289803]	[a1,a2,a3,a4,a6]
Generators	[3773:120564:1]	Generators of the group modulo torsion
j	55897079909475000488024097/8610030063152	j-invariant
L	4.9478166750899	L(r)(E,1)/r!
Ω	0.089865729468482	Real period
R	2.2940783917083	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	36176s4 40698l4 113050e4 31654n4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4522j3

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
-	0	-2	-	4	-2	-	-	-8	-6	4	2	-2	4	0	-2	-4	-10	-12	-12	10	-4	-4	-6	6

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Quadratic twists for elliptic curve 4522j3

-4	-3	5	-7	17	-19
36176s4	40698l4	113050e4	31654n4	76874u4	85918v4

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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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