Cremona's table of elliptic curves

946 = 2 · 11 · 43

Field	Data	Notes
Atkin-Lehner	2+ 11- 43-	Signs for the Atkin-Lehner involutions
Class	946b	Isogeny class
Conductor	946	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-55972928 = -1 · 26 · 11 · 433	Discriminant
Eigenvalues	2+  1  0 -4 11-  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-261,-1680]	[a1,a2,a3,a4,a6]
Generators	[51:318:1]	Generators of the group modulo torsion
j	-1955469687625/55972928	j-invariant
L	1.9736736156314	L(r)(E,1)/r!
Ω	0.59316597762932	Real period
R	0.55455912006267	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	7568h2 30272b2 8514h2 23650n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 946b2

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	0	-4	-	2	6	2	-6	-9	-10	2	0	-	-6	-9	0	-1	-16	0	-1	-1	9	0	17

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Quadratic twists for elliptic curve 946b2

-4	8	-3	5	-7	-11	-43
7568h2	30272b2	8514h2	23650n2	46354s2	10406h2	40678x2

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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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