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	10010v	Isogeny class
Conductor	10010	Conductor
∏ cp	392	Product of Tamagawa factors cp
Δ	-6.1892506418166E+25	Discriminant
Eigenvalues	2-  2 5- 7- 11+ 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-413803410,3261819207065]	[a1,a2,a3,a4,a6]
j	-7836207145707675363877221150241/61892506418165667150156250	j-invariant
L	6.1341515296923	L(r)(E,1)/r!
Ω	0.062593382956044	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	80080bo2 90090ba2 50050f2 70070bk2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10010v2

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	-4	8	0	8	-2	2	-2	8	2	12	-14	14	14	-16	10	14	10	-2

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Quadratic twists for elliptic curve 10010v2

-4	-3	5	-7	-11
80080bo2	90090ba2	50050f2	70070bk2	110110bc2

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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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