Cremona's table of elliptic curves

4730 = 2 · 5 · 11 · 43

Field	Data	Notes
Atkin-Lehner	2- 5- 11- 43+	Signs for the Atkin-Lehner involutions
Class	4730i	Isogeny class
Conductor	4730	Conductor
∏ cp	308	Product of Tamagawa factors cp
deg	425040	Modular degree for the optimal curve
Δ	-5.56279948312E+22	Discriminant
Eigenvalues	2-  2 5-  0 11-  6  2  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,7797480,7653910745]	[a1,a2,a3,a4,a6]
j	52430803961239418232136319/55627994831200000000000	j-invariant
L	5.6969555017973	L(r)(E,1)/r!
Ω	0.073986435088277	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	37840z1 42570c1 23650i1 52030o1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4730i1

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

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Quadratic twists for elliptic curve 4730i1

-4	-3	5	-11
37840z1	42570c1	23650i1	52030o1

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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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