Cremona's table of elliptic curves

17808 = 2⁴ · 3 · 7 · 53

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 53+	Signs for the Atkin-Lehner involutions
Class	17808ba	Isogeny class
Conductor	17808	Conductor
∏ cp	56	Product of Tamagawa factors cp
deg	5644800	Modular degree for the optimal curve
Δ	-7.1850905615953E+25	Discriminant
Eigenvalues	2- 3- -2 7- -2 -6 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,69384496,-341788817004]	[a1,a2,a3,a4,a6]
j	9018848088673607981072303/17541725003894778494976	j-invariant
L	0.4495599035154	L(r)(E,1)/r!
Ω	0.032111421679672	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	2226g1 71232cn1 53424bv1 124656ch1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 17808ba1

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	-	-2	-6	-4	-8	-8	-2	0	2	6	-8	0	+	-4	0	-10	-8	16	6	4	0	-14

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Quadratic twists for elliptic curve 17808ba1

-4	8	-3	-7
2226g1	71232cn1	53424bv1	124656ch1

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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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