Cremona's table of elliptic curves

294 = 2 · 3 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+	Signs for the Atkin-Lehner involutions
Class	294d	Isogeny class
Conductor	294	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-236027904 = -1 · 215 · 3 · 74	Discriminant
Eigenvalues	2+ 3-  3 7+  3 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-712,-7402]	[a1,a2,a3,a4,a6]
j	-16591834777/98304	j-invariant
L	1.3860857438614	L(r)(E,1)/r!
Ω	0.46202858128714	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2352k2 9408d2 882h2 7350bp2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 294d2

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
+	-	3	+	3	-4	0	-4	0	9	-1	8	0	-10	-6	-3	3	-10	-10	-6	2	-1	-9	6	-1

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Quadratic twists for elliptic curve 294d2

-4	8	-3	5	-7	-11	13	17	-19
2352k2	9408d2	882h2	7350bp2	294e2	35574cm2	49686ct2	84966e2	106134bq2

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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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