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	9350be	Isogeny class
Conductor	9350	Conductor
∏ cp	200	Product of Tamagawa factors cp
deg	48000	Modular degree for the optimal curve
Δ	-4503704620236800 = -1 · 220 · 52 · 112 · 175	Discriminant
Eigenvalues	2- -1 5+  3 11- -1 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-26928,3638161]	[a1,a2,a3,a4,a6]
j	-86376779442831145/180148184809472	j-invariant
L	3.099152202242	L(r)(E,1)/r!
Ω	0.38739402528025	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	74800bl1 84150bh1 9350l2 102850h1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9350be1

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	+	3	-	-1	-	0	4	0	7	-2	12	-6	-2	-11	-10	2	-2	-3	14	5	-6	10	18

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Quadratic twists for elliptic curve 9350be1

-4	-3	5	-11
74800bl1	84150bh1	9350l2	102850h1

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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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