Cremona's table of elliptic curves

9350 = 2 · 5² · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 11- 17+	Signs for the Atkin-Lehner involutions
Class	9350bk	Isogeny class
Conductor	9350	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	16383396128000 = 28 · 53 · 116 · 172	Discriminant
Eigenvalues	2-  2 5-  0 11-  6 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1972768,-1067325119]	[a1,a2,a3,a4,a6]
j	6792689403969707938517/131067169024	j-invariant
L	6.1146525975392	L(r)(E,1)/r!
Ω	0.12738859578207	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	74800cs2 84150de2 9350p2 102850bu2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9350bk2

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

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Quadratic twists for elliptic curve 9350bk2

-4	-3	5	-11
74800cs2	84150de2	9350p2	102850bu2

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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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