Cremona's table of elliptic curves

43350 = 2 · 3 · 5² · 17²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 17+	Signs for the Atkin-Lehner involutions
Class	43350b	Isogeny class
Conductor	43350	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1538770023750000 = 24 · 3 · 57 · 177	Discriminant
Eigenvalues	2+ 3+ 5+  0 -4  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-157216150,758676014500]	[a1,a2,a3,a4,a6]
Generators	[33321:5685743:1]	Generators of the group modulo torsion
j	1139466686381936641/4080	j-invariant
L	3.3479305646094	L(r)(E,1)/r!
Ω	0.22571475125909	Real period
R	7.416286587242	Regulator
r	1	Rank of the group of rational points
S	0.99999999999954	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8670v4 2550h4	Quadratic twists by: 5 17

Hecke Eigenvalues for elliptic curve 43350b4

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

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Quadratic twists for elliptic curve 43350b4

5	17
8670v4	2550h4

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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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