Cremona's table of elliptic curves

17850 = 2 · 3 · 5² · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+ 17+	Signs for the Atkin-Lehner involutions
Class	17850bc	Isogeny class
Conductor	17850	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-3.0243016765319E+21	Discriminant
Eigenvalues	2- 3+ 5+ 7+  0  6 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,1575687,2534651031]	[a1,a2,a3,a4,a6]
j	27689398696638536759/193555307298039120	j-invariant
L	3.3136962376585	L(r)(E,1)/r!
Ω	0.10355300742683	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	53550bb3 3570p4 124950ib3	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 17850bc4

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

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Quadratic twists for elliptic curve 17850bc4

-3	5	-7
53550bb3	3570p4	124950ib3

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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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