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	10450bg	Isogeny class
Conductor	10450	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	126150728000 = 26 · 53 · 112 · 194	Discriminant
Eigenvalues	2- -2 5- -4 11- -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1293,-5423]	[a1,a2,a3,a4,a6]
Generators	[-28:109:1]	Generators of the group modulo torsion
j	1912626928997/1009205824	j-invariant
L	3.9081477456085	L(r)(E,1)/r!
Ω	0.8447355167135	Real period
R	0.19276979146549	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	83600cl2 94050cb2 10450p2 114950bp2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10450bg2

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

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Quadratic twists for elliptic curve 10450bg2

-4	-3	5	-11
83600cl2	94050cb2	10450p2	114950bp2

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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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