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	294a	Isogeny class
Conductor	294	Conductor
∏ cp	7	Product of Tamagawa factors cp
Δ	-1613775332736 = -1 · 27 · 37 · 78	Discriminant
Eigenvalues	2- 3+  1 7+  5  0 -4  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-6910,-232261]	[a1,a2,a3,a4,a6]
j	-6329617441/279936	j-invariant
L	1.8280004280168	L(r)(E,1)/r!
Ω	0.26114291828811	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	2352r2 9408v2 882c2 7350u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 294a2

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 294a2

-4	8	-3	5	-7	-11	13	17	-19
2352r2	9408v2	882c2	7350u2	294b2	35574d2	49686c2	84966dm2	106134u2

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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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