Cremona's table of elliptic curves

1974 = 2 · 3 · 7 · 47

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 47+	Signs for the Atkin-Lehner involutions
Class	1974l	Isogeny class
Conductor	1974	Conductor
∏ cp	72	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-107448768 = -1 · 26 · 36 · 72 · 47	Discriminant
Eigenvalues	2- 3-  0 7-  0  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-503,4329]	[a1,a2,a3,a4,a6]
j	-14076076848625/107448768	j-invariant
L	3.7811019270963	L(r)(E,1)/r!
Ω	1.8905509635481	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	15792n1 63168n1 5922i1 49350a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1974l1

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
-	-	0	-	0	2	6	-4	6	-6	2	2	6	2	+	-6	-12	2	14	12	8	8	-12	-6	2

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Quadratic twists for elliptic curve 1974l1

-4	8	-3	5	-7	-47
15792n1	63168n1	5922i1	49350a1	13818r1	92778ba1

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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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