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	9350bl	Isogeny class
Conductor	9350	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	-337018880000 = -1 · 218 · 54 · 112 · 17	Discriminant
Eigenvalues	2- -1 5-  1 11- -1 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,137,27981]	[a1,a2,a3,a4,a6]
Generators	[11:170:1]	Generators of the group modulo torsion
j	454786175/539230208	j-invariant
L	5.6031167232778	L(r)(E,1)/r!
Ω	0.75203534815892	Real period
R	0.20696119083125	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	74800ct1 84150cx1 9350e1 102850bm1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9350bl1

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
-	-1	-	1	-	-1	-	4	0	-8	-5	0	-10	-6	-4	-3	10	12	-2	5	0	9	-8	6	-8

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Quadratic twists for elliptic curve 9350bl1

-4	-3	5	-11
74800ct1	84150cx1	9350e1	102850bm1

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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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