Cremona's table of elliptic curves

10010 = 2 · 5 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 7- 11+ 13+	Signs for the Atkin-Lehner involutions
Class	10010k	Isogeny class
Conductor	10010	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	3.6180849699874E+25	Discriminant
Eigenvalues	2+  0 5- 7- 11+ 13+  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-9293283119,344829679814125]	[a1,a2,a3,a4,a6]
Generators	[45309:4072937:1]	Generators of the group modulo torsion
j	88762845566274919807374197327852361/36180849699874120000760000	j-invariant
L	3.3947944707437	L(r)(E,1)/r!
Ω	0.052911153611713	Real period
R	4.0100175471229	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	80080bn4 90090dh4 50050bi4 70070d4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10010k4

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

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Quadratic twists for elliptic curve 10010k4

-4	-3	5	-7	-11
80080bn4	90090dh4	50050bi4	70070d4	110110cm4

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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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