Cremona's table of elliptic curves

1602 = 2 · 3² · 89

Field	Data	Notes
Atkin-Lehner	2+ 3- 89-	Signs for the Atkin-Lehner involutions
Class	1602b	Isogeny class
Conductor	1602	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-8222758416 = -1 · 24 · 36 · 893	Discriminant
Eigenvalues	2+ 3- -3 -4  6  2 -3  5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-4986,136836]	[a1,a2,a3,a4,a6]
Generators	[40:-6:1]	Generators of the group modulo torsion
j	-18806241149857/11279504	j-invariant
L	1.7273497542082	L(r)(E,1)/r!
Ω	1.2954539113182	Real period
R	2.0000901681449	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	12816m2 51264u2 178a2 40050bi2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1602b2

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
+	-	-3	-4	6	2	-3	5	3	0	5	-10	0	-1	-12	-9	-12	-10	-4	6	-1	-10	12	-	17

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Quadratic twists for elliptic curve 1602b2

-4	8	-3	5	-7
12816m2	51264u2	178a2	40050bi2	78498t2

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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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