Cremona's table of elliptic curves

10450 = 2 · 5² · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 11+ 19-	Signs for the Atkin-Lehner involutions
Class	10450y	Isogeny class
Conductor	10450	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	1778922375312500 = 22 · 57 · 112 · 196	Discriminant
Eigenvalues	2-  2 5+ -2 11+ -2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-41963,2595781]	[a1,a2,a3,a4,a6]
Generators	[239:2388:1]	Generators of the group modulo torsion
j	523002686860009/113851032020	j-invariant
L	8.6021820691515	L(r)(E,1)/r!
Ω	0.44432026391712	Real period
R	1.6133599207088	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	83600bw2 94050bk2 2090d2 114950o2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10450y2

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	+	-2	0	-	0	-6	-4	-8	6	-2	12	12	12	-10	-14	0	-8	-16	-6	6	-8

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Quadratic twists for elliptic curve 10450y2

-4	-3	5	-11
83600bw2	94050bk2	2090d2	114950o2

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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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