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
deg	120	Modular degree for the optimal curve
Δ	-228932 = -1 · 22 · 113 · 43	Discriminant
Eigenvalues	2+  1  0 -4 11-  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,14,-8]	[a1,a2,a3,a4,a6]
Generators	[5:11:1]	Generators of the group modulo torsion
j	335702375/228932	j-invariant
L	1.9736736156314	L(r)(E,1)/r!
Ω	1.779497932888	Real period
R	1.663677360188	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	7568h1 30272b1 8514h1 23650n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 946b1

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 946b1

-4	8	-3	5	-7	-11	-43
7568h1	30272b1	8514h1	23650n1	46354s1	10406h1	40678x1

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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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