Cremona's table of elliptic curves

4046 = 2 · 7 · 17²

Field	Data	Notes
Atkin-Lehner	2- 7+ 17+	Signs for the Atkin-Lehner involutions
Class	4046l	Isogeny class
Conductor	4046	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	2143845582827648 = 27 · 74 · 178	Discriminant
Eigenvalues	2-  2  4 7+  6 -2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-202306,34868431]	[a1,a2,a3,a4,a6]
j	37936442980801/88817792	j-invariant
L	6.503021611537	L(r)(E,1)/r!
Ω	0.46450154368121	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	32368bf2 129472n2 36414z2 101150w2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4046l2

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	+	6	-2	+	0	4	-8	0	-4	2	-8	-8	-6	-4	8	-16	-4	-10	12	12	10	-6

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Quadratic twists for elliptic curve 4046l2

-4	8	-3	5	-7	17
32368bf2	129472n2	36414z2	101150w2	28322bb2	238a2

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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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