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	10626i	Isogeny class
Conductor	10626	Conductor
∏ cp	640	Product of Tamagawa factors cp
Δ	3.2757370990533E+22	Discriminant
Eigenvalues	2+ 3-  2 7- 11- -4 -4  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-12070395,13589596846]	[a1,a2,a3,a4,a6]
Generators	[542:84621:1]	Generators of the group modulo torsion
j	194485894132338991516502953/32757370990533323048376	j-invariant
L	4.7176390795644	L(r)(E,1)/r!
Ω	0.11145030978784	Real period
R	0.2645595539699	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	85008bc2 31878bf2 74382j2 116886bq2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 10626i2

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	-	-	-4	-4	6	-	-6	-10	-2	-2	8	-6	-6	-4	-2	-8	-4	-10	-8	18	-8	0

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Quadratic twists for elliptic curve 10626i2

-4	-3	-7	-11
85008bc2	31878bf2	74382j2	116886bq2

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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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