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	17850bs	Isogeny class
Conductor	17850	Conductor
∏ cp	2560	Product of Tamagawa factors cp
Δ	2.14065379584E+19	Discriminant
Eigenvalues	2- 3- 5+ 7+ -4  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-8813438,10067655492]	[a1,a2,a3,a4,a6]
Generators	[2692:-77846:1]	Generators of the group modulo torsion
j	4845512858070228485401/1370018429337600	j-invariant
L	8.7209511032094	L(r)(E,1)/r!
Ω	0.21028083548939	Real period
R	0.25920547760906	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	53550bh2 3570i2 124950fx2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 17850bs2

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
-	-	+	+	-4	2	+	0	4	-2	0	-2	-6	-8	-8	-2	12	-6	-8	0	-2	16	-4	-10	-2

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Quadratic twists for elliptic curve 17850bs2

-3	5	-7
53550bh2	3570i2	124950fx2

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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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