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	4524f	Isogeny class
Conductor	4524	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-243499776 = -1 · 28 · 3 · 13 · 293	Discriminant
Eigenvalues	2- 3- -3  2  0 13-  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-12597,-548409]	[a1,a2,a3,a4,a6]
j	-863613873553408/951171	j-invariant
L	2.0278806184482	L(r)(E,1)/r!
Ω	0.22532006871646	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18096w2 72384k2 13572e2 113100a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4524f2

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	2	0	-	3	-4	6	+	5	-7	6	-10	6	6	-3	-10	14	0	2	-4	12	12	17

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Quadratic twists for elliptic curve 4524f2

-4	8	-3	5	13
18096w2	72384k2	13572e2	113100a2	58812o2

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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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