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	1710j	Isogeny class
Conductor	1710	Conductor
∏ cp	432	Product of Tamagawa factors cp
Δ	-5.14446708735E+19	Discriminant
Eigenvalues	2+ 3- 5-  2 -6 -4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,769401,-227366595]	[a1,a2,a3,a4,a6]
j	69096190760262356111/70568821500000000	j-invariant
L	1.3031982895665	L(r)(E,1)/r!
Ω	0.10859985746387	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	13680bo3 54720t3 570k3 8550be3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1710j3

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

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Quadratic twists for elliptic curve 1710j3

-4	8	-3	5	-7	-19
13680bo3	54720t3	570k3	8550be3	83790bj3	32490ca3

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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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