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	294c	Isogeny class
Conductor	294	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	29647548 = 22 · 32 · 77	Discriminant
Eigenvalues	2- 3-  2 7- -4 -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-65857,-6510547]	[a1,a2,a3,a4,a6]
j	268498407453697/252	j-invariant
L	2.3841798957004	L(r)(E,1)/r!
Ω	0.29802248696255	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2352o4 9408p3 882e4 7350i3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 294c3

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

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Quadratic twists for elliptic curve 294c3

-4	8	-3	5	-7	-11	13	17	-19
2352o4	9408p3	882e4	7350i3	42a4	35574bg4	49686bk4	84966cz4	106134o4

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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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