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	294b	Isogeny class
Conductor	294	Conductor
∏ cp	49	Product of Tamagawa factors cp
Δ	-13716864 = -1 · 27 · 37 · 72	Discriminant
Eigenvalues	2- 3- -1 7-  5  0  4 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-141,657]	[a1,a2,a3,a4,a6]
j	-6329617441/279936	j-invariant
L	2.2120648950096	L(r)(E,1)/r!
Ω	2.2120648950096	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	7	Number of elements in the torsion subgroup
Twists	2352l2 9408h2 882d2 7350j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 294b2

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	-	5	0	4	-8	-4	-5	-3	-4	0	2	6	-9	11	6	-2	2	-10	3	7	6	-7

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Quadratic twists for elliptic curve 294b2

-4	8	-3	5	-7	-11	13	17	-19
2352l2	9408h2	882d2	7350j2	294a2	35574bd2	49686bg2	84966ct2	106134m2

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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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