Cremona's table of elliptic curves

1802 = 2 · 17 · 53

Field	Data	Notes
Atkin-Lehner	2+ 17+ 53-	Signs for the Atkin-Lehner involutions
Class	1802a	Isogeny class
Conductor	1802	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-68259414016 = -1 · 218 · 173 · 53	Discriminant
Eigenvalues	2+ -2 -3  5  0  5 17+  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1720,-30330]	[a1,a2,a3,a4,a6]
j	-562271457628153/68259414016	j-invariant
L	0.73638116013677	L(r)(E,1)/r!
Ω	0.36819058006838	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14416g2 57664d2 16218t2 45050n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1802a2

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	-3	5	0	5	+	5	-6	6	-10	-10	6	2	0	-	0	-10	5	-12	11	8	3	3	2

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Quadratic twists for elliptic curve 1802a2

-4	8	-3	5	-7	17	53
14416g2	57664d2	16218t2	45050n2	88298p2	30634b2	95506g2

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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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