Cremona's table of elliptic curves

10626 = 2 · 3 · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11+ 23+	Signs for the Atkin-Lehner involutions
Class	10626r	Isogeny class
Conductor	10626	Conductor
∏ cp	1024	Product of Tamagawa factors cp
Δ	4687062591766850064 = 24 · 38 · 78 · 114 · 232	Discriminant
Eigenvalues	2- 3- -2 7- 11+ -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-420664,13323824]	[a1,a2,a3,a4,a6]
j	8232463578739844255617/4687062591766850064	j-invariant
L	3.3539827565758	L(r)(E,1)/r!
Ω	0.20962392228599	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	85008bm2 31878v2 74382x2 116886l2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 10626r2

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

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Quadratic twists for elliptic curve 10626r2

-4	-3	-7	-11
85008bm2	31878v2	74382x2	116886l2

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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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