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	946a	Isogeny class
Conductor	946	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	894916 = 22 · 112 · 432	Discriminant
Eigenvalues	2+  0  2  0 11+  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-31,57]	[a1,a2,a3,a4,a6]
j	3354790473/894916	j-invariant
L	1.3091852929638	L(r)(E,1)/r!
Ω	2.6183705859277	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7568l2 30272l2 8514j2 23650k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 946a2

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

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Quadratic twists for elliptic curve 946a2

-4	8	-3	5	-7	-11	-43
7568l2	30272l2	8514j2	23650k2	46354h2	10406g2	40678s2

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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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