Cremona's table of elliptic curves

1710 = 2 · 3² · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 19+	Signs for the Atkin-Lehner involutions
Class	1710h	Isogeny class
Conductor	1710	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-384766236450 = -1 · 2 · 310 · 52 · 194	Discriminant
Eigenvalues	2+ 3- 5-  0 -4  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,1791,5863]	[a1,a2,a3,a4,a6]
Generators	[17:194:1]	Generators of the group modulo torsion
j	871257511151/527800050	j-invariant
L	2.2663038697833	L(r)(E,1)/r!
Ω	0.58421986873307	Real period
R	0.96979921048301	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13680br4 54720bc3 570g4 8550x4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1710h4

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

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Quadratic twists for elliptic curve 1710h4

-4	8	-3	5	-7	-19
13680br4	54720bc3	570g4	8550x4	83790bo3	32490bv3

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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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