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	4524c	Isogeny class
Conductor	4524	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	28058202102528 = 28 · 33 · 136 · 292	Discriminant
Eigenvalues	2- 3+  4 -2  0 13-  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-121836,-16326072]	[a1,a2,a3,a4,a6]
Generators	[1097:34190:1]	Generators of the group modulo torsion
j	781293494409075664/109602351963	j-invariant
L	3.8570699455921	L(r)(E,1)/r!
Ω	0.25554006760309	Real period
R	5.0312657186151	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	18096bg2 72384bg2 13572f2 113100l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4524c2

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

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Quadratic twists for elliptic curve 4524c2

-4	8	-3	5	13
18096bg2	72384bg2	13572f2	113100l2	58812e2

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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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