Cremona's table of elliptic curves

3290 = 2 · 5 · 7 · 47

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 47+	Signs for the Atkin-Lehner involutions
Class	3290c	Isogeny class
Conductor	3290	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1237040000 = 27 · 54 · 7 · 472	Discriminant
Eigenvalues	2+  0 5- 7+  4 -6  6 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-4754,-124972]	[a1,a2,a3,a4,a6]
j	11883725994404601/1237040000	j-invariant
L	1.1499082413121	L(r)(E,1)/r!
Ω	0.57495412065604	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	26320l2 105280b2 29610w2 16450p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3290c2

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
+	0	-	+	4	-6	6	-6	6	0	0	-2	0	-8	+	6	12	14	-8	8	16	0	4	-2	-18

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Quadratic twists for elliptic curve 3290c2

-4	8	-3	5	-7
26320l2	105280b2	29610w2	16450p2	23030e2

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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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