Cremona's table of elliptic curves

1968 = 2⁴ · 3 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 41+	Signs for the Atkin-Lehner involutions
Class	1968l	Isogeny class
Conductor	1968	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-361399615488 = -1 · 215 · 38 · 412	Discriminant
Eigenvalues	2- 3- -2 -2  4 -4 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-424,-29260]	[a1,a2,a3,a4,a6]
Generators	[62:432:1]	Generators of the group modulo torsion
j	-2062933417/88232328	j-invariant
L	3.0994135292211	L(r)(E,1)/r!
Ω	0.41809115826656	Real period
R	0.46332801291342	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	246d2 7872s2 5904r2 49200bq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1968l2

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	-2	4	-4	-2	8	-4	-8	-4	2	+	-4	2	4	-12	-6	-16	-6	-2	14	-4	-6	-2

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Quadratic twists for elliptic curve 1968l2

-4	8	-3	5	-7	41
246d2	7872s2	5904r2	49200bq2	96432bs2	80688n2

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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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