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	1710c	Isogeny class
Conductor	1710	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1072691352464862960 = -1 · 24 · 37 · 5 · 1910	Discriminant
Eigenvalues	2+ 3- 5+ -2 -2  4  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-29713185,62348184621]	[a1,a2,a3,a4,a6]
j	-3979640234041473454886161/1471455901872240	j-invariant
L	0.89405924430326	L(r)(E,1)/r!
Ω	0.22351481107581	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	13680be3 54720ch3 570l3 8550y3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1710c3

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

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Quadratic twists for elliptic curve 1710c3

-4	8	-3	5	-7	-19
13680be3	54720ch3	570l3	8550y3	83790ch3	32490bn3

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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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