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	10450bh	Isogeny class
Conductor	10450	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	14400	Modular degree for the optimal curve
Δ	-13062500000 = -1 · 25 · 59 · 11 · 19	Discriminant
Eigenvalues	2- -3 5-  2 11- -5  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,570,-1803]	[a1,a2,a3,a4,a6]
Generators	[19:115:1]	Generators of the group modulo torsion
j	10503459/6688	j-invariant
L	4.3502542967809	L(r)(E,1)/r!
Ω	0.72314292143694	Real period
R	0.60157600493919	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	83600co1 94050bv1 10450q1 114950bq1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10450bh1

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
-	-3	-	2	-	-5	2	-	-1	0	5	-8	3	-7	-7	2	0	-7	7	-8	17	-12	-5	12	-14

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Quadratic twists for elliptic curve 10450bh1

-4	-3	5	-11
83600co1	94050bv1	10450q1	114950bq1

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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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