Cremona's table of elliptic curves

576 = 2⁶ · 3²

Field	Data	Notes
Atkin-Lehner	2- 3-	Signs for the Atkin-Lehner involutions
Class	576i	Isogeny class
Conductor	576	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	107495424 = 214 · 38	Discriminant
Eigenvalues	2- 3- -2  0 -4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-156,560]	[a1,a2,a3,a4,a6]
Generators	[-8:36:1]	Generators of the group modulo torsion
j	35152/9	j-invariant
L	1.9003720950219	L(r)(E,1)/r!
Ω	1.7607876529006	Real period
R	1.0792738646772	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	576d2 144b2 192d2 14400ds2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 576i2

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
-	-	-2	0	-4	2	-2	-4	-8	6	-8	-6	6	4	0	-2	-4	2	-4	8	10	8	4	6	2

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Quadratic twists for elliptic curve 576i2

-4	8	-3	5	-7	-11	13
576d2	144b2	192d2	14400ds2	28224fv2	69696gl2	97344fb2

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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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