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	4	Product of Tamagawa factors cp
Δ	859963392 = 217 · 38	Discriminant
Eigenvalues	2- 3- -2  0 -4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-13836,-626416]	[a1,a2,a3,a4,a6]
Generators	[157:1035:1]	Generators of the group modulo torsion
j	3065617154/9	j-invariant
L	1.9003720950219	L(r)(E,1)/r!
Ω	0.44019691322515	Real period
R	4.3170954587087	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	576d5 144b5 192d5 14400ds5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 576i5

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 576i5

-4	8	-3	5	-7	-11	13
576d5	144b5	192d5	14400ds5	28224fv6	69696gl6	97344fb6

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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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