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	3290a	Isogeny class
Conductor	3290	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	86592800 = 25 · 52 · 72 · 472	Discriminant
Eigenvalues	2+ -2 5+ 7+  2 -6 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4274,107172]	[a1,a2,a3,a4,a6]
Generators	[26:104:1]	Generators of the group modulo torsion
j	8631398911361689/86592800	j-invariant
L	1.4965613159955	L(r)(E,1)/r!
Ω	1.7308241674043	Real period
R	0.43232621319353	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	26320i2 105280j2 29610be2 16450q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3290a2

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

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Quadratic twists for elliptic curve 3290a2

-4	8	-3	5	-7
26320i2	105280j2	29610be2	16450q2	23030p2

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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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