Cremona's table of elliptic curves

988 = 2² · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 13- 19-	Signs for the Atkin-Lehner involutions
Class	988d	Isogeny class
Conductor	988	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-667888 = -1 · 24 · 133 · 19	Discriminant
Eigenvalues	2- -2  0  2  0 13- -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1918,-32979]	[a1,a2,a3,a4,a6]
j	-48795070432000/41743	j-invariant
L	1.0820810042308	L(r)(E,1)/r!
Ω	0.36069366807692	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3952i2 15808a2 8892n2 24700d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 988d2

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	2	0	-	-3	-	3	6	-1	-7	9	11	6	6	9	-1	11	12	8	-10	-6	6	11

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Quadratic twists for elliptic curve 988d2

-4	8	-3	5	-7	-11	13	-19
3952i2	15808a2	8892n2	24700d2	48412f2	119548e2	12844c2	18772c2

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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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