Cremona's table of elliptic curves

3311 = 7 · 11 · 43

Field	Data	Notes
Atkin-Lehner	7+ 11- 43+	Signs for the Atkin-Lehner involutions
Class	3311b	Isogeny class
Conductor	3311	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-1566103 = -1 · 7 · 112 · 432	Discriminant
Eigenvalues	1  2 -4 7+ 11- -4 -4  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,28,35]	[a1,a2,a3,a4,a6]
j	2294744759/1566103	j-invariant
L	1.686322593415	L(r)(E,1)/r!
Ω	1.686322593415	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	52976ba2 29799e2 82775o2 23177d2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3311b2

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
1	2	-4	+	-	-4	-4	8	0	6	4	2	12	+	8	-10	4	-6	-12	12	14	-4	-6	0	-2

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Quadratic twists for elliptic curve 3311b2

-4	-3	5	-7	-11
52976ba2	29799e2	82775o2	23177d2	36421f2

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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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