Cremona's table of elliptic curves

7272 = 2³ · 3² · 101

Field	Data	Notes
Atkin-Lehner	2- 3- 101+	Signs for the Atkin-Lehner involutions
Class	7272i	Isogeny class
Conductor	7272	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	55296	Modular degree for the optimal curve
Δ	10017144163584 = 28 · 318 · 101	Discriminant
Eigenvalues	2- 3- -3  2 -2 -3 -3  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-704244,227474516]	[a1,a2,a3,a4,a6]
Generators	[484:18:1]	Generators of the group modulo torsion
j	206978714469071872/53675541	j-invariant
L	3.4321472645455	L(r)(E,1)/r!
Ω	0.5789602880466	Real period
R	1.4820305189349	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14544f1 58176bh1 2424b1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 7272i1

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	-2	-3	-3	5	-3	10	9	-2	-10	4	11	4	-8	-6	10	-7	-2	-11	12	-2	-2

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Quadratic twists for elliptic curve 7272i1

-4	8	-3
14544f1	58176bh1	2424b1

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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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