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
deg	15552	Modular degree for the optimal curve
Δ	18124647108048 = 24 · 36 · 133 · 294	Discriminant
Eigenvalues	2- 3+  4 -2  0 13-  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-8301,-204102]	[a1,a2,a3,a4,a6]
Generators	[-534:1755:8]	Generators of the group modulo torsion
j	3954096720707584/1132790444253	j-invariant
L	3.8570699455921	L(r)(E,1)/r!
Ω	0.51108013520618	Real period
R	2.5156328593076	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	18096bg1 72384bg1 13572f1 113100l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4524c1

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 4524c1

-4	8	-3	5	13
18096bg1	72384bg1	13572f1	113100l1	58812e1

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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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