Cremona's table of elliptic curves

10350 = 2 · 3² · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	10350bh	Isogeny class
Conductor	10350	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	826216560450000000 = 27 · 310 · 58 · 234	Discriminant
Eigenvalues	2- 3- 5+  0  0 -6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-311042480,2111512544147]	[a1,a2,a3,a4,a6]
Generators	[10185:-4679:1]	Generators of the group modulo torsion
j	292169767125103365085489/72534787200	j-invariant
L	6.5804892722073	L(r)(E,1)/r!
Ω	0.16606433195994	Real period
R	2.8304389176611	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	82800ds4 3450j3 2070i4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 10350bh4

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
-	-	+	0	0	-6	2	0	+	-6	8	-10	6	8	8	-6	4	-6	-8	8	-10	-8	-8	6	-18

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Quadratic twists for elliptic curve 10350bh4

-4	-3	5
82800ds4	3450j3	2070i4

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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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