Cremona's table of elliptic curves

4524 = 2² · 3 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 13- 29+	Signs for the Atkin-Lehner involutions
Class	4524b	Isogeny class
Conductor	4524	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	3763968 = 28 · 3 · 132 · 29	Discriminant
Eigenvalues	2- 3+  0  2  2 13- -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-468,4056]	[a1,a2,a3,a4,a6]
Generators	[65:494:1]	Generators of the group modulo torsion
j	44376082000/14703	j-invariant
L	3.4493251784299	L(r)(E,1)/r!
Ω	2.4370017847882	Real period
R	2.8307941339728	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	18096bd2 72384bb2 13572c2 113100m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4524b2

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	2	-	-2	0	-8	+	-4	-4	6	-4	6	-2	0	-10	-14	0	4	-8	16	-6	12

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Quadratic twists for elliptic curve 4524b2

-4	8	-3	5	13
18096bd2	72384bb2	13572c2	113100m2	58812a2

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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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