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	1710d	Isogeny class
Conductor	1710	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	236852100 = 22 · 38 · 52 · 192	Discriminant
Eigenvalues	2+ 3- 5+  4  4 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1710,-26784]	[a1,a2,a3,a4,a6]
j	758800078561/324900	j-invariant
L	1.4848404110562	L(r)(E,1)/r!
Ω	0.7424202055281	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	13680bh2 54720co2 570m2 8550ba2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1710d2

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	4	-2	2	+	8	-6	4	-10	2	12	0	-6	0	-10	-4	8	2	-12	8	-6	18

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Quadratic twists for elliptic curve 1710d2

-4	8	-3	5	-7	-19
13680bh2	54720co2	570m2	8550ba2	83790ck2	32490bp2

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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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