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	1802d	Isogeny class
Conductor	1802	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	80	Modular degree for the optimal curve
Δ	-3604 = -1 · 22 · 17 · 53	Discriminant
Eigenvalues	2- -2 -1  1  0  1 17+ -5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1,-3]	[a1,a2,a3,a4,a6]
Generators	[2:1:1]	Generators of the group modulo torsion
j	-117649/3604	j-invariant
L	3.0363381413444	L(r)(E,1)/r!
Ω	1.929979751252	Real period
R	0.78662435172561	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14416f1 57664c1 16218g1 45050d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1802d1

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	-1	1	0	1	+	-5	-2	2	6	-2	-6	-6	4	-	-8	2	-13	-12	-3	-8	5	-13	-14

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Quadratic twists for elliptic curve 1802d1

-4	8	-3	5	-7	17	53
14416f1	57664c1	16218g1	45050d1	88298ba1	30634h1	95506b1

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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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