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	1802c	Isogeny class
Conductor	1802	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	704	Modular degree for the optimal curve
Δ	12224768 = 28 · 17 · 532	Discriminant
Eigenvalues	2-  2  0  4  0  2 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-283,-1943]	[a1,a2,a3,a4,a6]
j	2507141976625/12224768	j-invariant
L	4.6572804970897	L(r)(E,1)/r!
Ω	1.1643201242724	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	14416e1 57664g1 16218k1 45050e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1802c1

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

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Quadratic twists for elliptic curve 1802c1

-4	8	-3	5	-7	17	53
14416e1	57664g1	16218k1	45050e1	88298v1	30634g1	95506c1

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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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