Cremona's table of elliptic curves

6902 = 2 · 7 · 17 · 29

Field	Data	Notes
Atkin-Lehner	2+ 7+ 17+ 29+	Signs for the Atkin-Lehner involutions
Class	6902a	Isogeny class
Conductor	6902	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	29520	Modular degree for the optimal curve
Δ	-639848082571264 = -1 · 218 · 7 · 17 · 295	Discriminant
Eigenvalues	2+  0  3 7+  3  0 17+ -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,18802,-709292]	[a1,a2,a3,a4,a6]
Generators	[31332:1058510:27]	Generators of the group modulo torsion
j	735060125338815303/639848082571264	j-invariant
L	3.4945361846285	L(r)(E,1)/r!
Ω	0.2822022195373	Real period
R	6.1915462436089	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	55216q1 62118bo1 48314k1 117334h1	Quadratic twists by: -4 -3 -7 17

Hecke Eigenvalues for elliptic curve 6902a1

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	3	+	3	0	+	-7	2	+	-2	6	-6	4	3	-11	10	-10	-7	-6	10	-9	-6	-6	16

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Quadratic twists for elliptic curve 6902a1

-4	-3	-7	17
55216q1	62118bo1	48314k1	117334h1

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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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