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	10010o	Isogeny class
Conductor	10010	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	7.5175734592308E+20	Discriminant
Eigenvalues	2-  2 5+ 7+ 11+ 13- -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-9473631,-11149510747]	[a1,a2,a3,a4,a6]
Generators	[242679:21307808:27]	Generators of the group modulo torsion
j	94031444894103168991379569/751757345923083500000	j-invariant
L	8.3031396216655	L(r)(E,1)/r!
Ω	0.086095375590059	Real period
R	9.6441180083826	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	80080bg2 90090br2 50050n2 70070ca2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10010o2

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

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Quadratic twists for elliptic curve 10010o2

-4	-3	5	-7	-11
80080bg2	90090br2	50050n2	70070ca2	110110q2

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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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