Cremona's table of elliptic curves

9400 = 2³ · 5² · 47

Field	Data	Notes
Atkin-Lehner	2+ 5- 47+	Signs for the Atkin-Lehner involutions
Class	9400b	Isogeny class
Conductor	9400	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	7104	Modular degree for the optimal curve
Δ	-3322336000 = -1 · 28 · 53 · 473	Discriminant
Eigenvalues	2+  2 5- -4  2  1  0  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2593,-50043]	[a1,a2,a3,a4,a6]
j	-60276601856/103823	j-invariant
L	2.6757782942787	L(r)(E,1)/r!
Ω	0.33447228678483	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18800n1 75200bm1 84600ch1 9400o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9400b1

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	-	-4	2	1	0	8	1	-4	0	4	8	-3	+	-10	-3	-1	-4	5	-1	1	2	15	10

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Quadratic twists for elliptic curve 9400b1

-4	8	-3	5
18800n1	75200bm1	84600ch1	9400o1

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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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