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	64	Product of Tamagawa factors cp
Δ	5921302500 = 22 · 38 · 54 · 192	Discriminant
Eigenvalues	2+ 3- 5-  0 -4  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-459,913]	[a1,a2,a3,a4,a6]
Generators	[-13:74:1]	Generators of the group modulo torsion
j	14688124849/8122500	j-invariant
L	2.2663038697833	L(r)(E,1)/r!
Ω	1.1684397374661	Real period
R	0.48489960524151	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	13680br2 54720bc2 570g2 8550x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1710h2

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 1710h2

-4	8	-3	5	-7	-19
13680br2	54720bc2	570g2	8550x2	83790bo2	32490bv2

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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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