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	294f	Isogeny class
Conductor	294	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	448	Modular degree for the optimal curve
Δ	-52298274672 = -1 · 24 · 34 · 79	Discriminant
Eigenvalues	2+ 3+  4 7- -4  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,122,-10940]	[a1,a2,a3,a4,a6]
j	4913/1296	j-invariant
L	1.0558946111119	L(r)(E,1)/r!
Ω	0.52794730555597	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2352y1 9408bm1 882l1 7350cq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 294f1

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
+	+	4	-	-4	4	0	4	0	2	8	-6	0	4	-8	-10	4	-4	4	8	-16	-8	-12	8	8

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Quadratic twists for elliptic curve 294f1

-4	8	-3	5	-7	-11	13	17	-19
2352y1	9408bm1	882l1	7350cq1	294g1	35574ch1	49686cn1	84966ck1	106134dh1

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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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