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
deg	102400	Modular degree for the optimal curve
Δ	-73635189229502208 = -1 · 28 · 316 · 74 · 112 · 23	Discriminant
Eigenvalues	2- 3- -2 7- 11+ -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,104216,1671488]	[a1,a2,a3,a4,a6]
j	125177609053596564863/73635189229502208	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	85008bm1 31878v1 74382x1 116886l1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 10626r1

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 10626r1

-4	-3	-7	-11
85008bm1	31878v1	74382x1	116886l1

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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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