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	10626s	Isogeny class
Conductor	10626	Conductor
∏ cp	576	Product of Tamagawa factors cp
deg	27648	Modular degree for the optimal curve
Δ	-4097346156288 = -1 · 28 · 36 · 73 · 112 · 232	Discriminant
Eigenvalues	2- 3- -4 7- 11-  0 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,3860,31376]	[a1,a2,a3,a4,a6]
Generators	[80:-964:1]	Generators of the group modulo torsion
j	6360314548472639/4097346156288	j-invariant
L	6.5471778761948	L(r)(E,1)/r!
Ω	0.48703747738266	Real period
R	0.093353212310205	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	85008bf1 31878o1 74382bg1 116886n1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 10626s1

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

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Quadratic twists for elliptic curve 10626s1

-4	-3	-7	-11
85008bf1	31878o1	74382bg1	116886n1

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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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