Cremona's table of elliptic curves

2088 = 2³ · 3² · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 29+	Signs for the Atkin-Lehner involutions
Class	2088h	Isogeny class
Conductor	2088	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	33901369344 = 211 · 39 · 292	Discriminant
Eigenvalues	2- 3+ -2 -4  0  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-891,-5130]	[a1,a2,a3,a4,a6]
j	1940598/841	j-invariant
L	0.90899697186167	L(r)(E,1)/r!
Ω	0.90899697186167	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4176b2 16704k2 2088b2 52200c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2088h2

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	-4	0	2	-6	0	4	+	6	4	-6	4	0	2	-2	0	12	0	14	10	6	6	2

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Quadratic twists for elliptic curve 2088h2

-4	8	-3	5	-7	29
4176b2	16704k2	2088b2	52200c2	102312v2	60552b2

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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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