Cremona's table of elliptic curves

1599 = 3 · 13 · 41

Field	Data	Notes
Atkin-Lehner	3+ 13- 41+	Signs for the Atkin-Lehner involutions
Class	1599c	Isogeny class
Conductor	1599	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	79824	Modular degree for the optimal curve
Δ	-5905358043 = -1 · 3 · 134 · 413	Discriminant
Eigenvalues	-2 3+ -4  2 -5 13- -7  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-9507750,-11280874648]	[a1,a2,a3,a4,a6]
j	-95051071934010512925700096/5905358043	j-invariant
L	0.17195313893705	L(r)(E,1)/r!
Ω	0.042988284734263	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	25584z1 102336y1 4797d1 39975o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1599c1

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	+	-4	2	-5	-	-7	0	6	-1	-5	-11	+	-9	-3	6	-12	-11	-2	3	-7	14	16	10	-8

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Quadratic twists for elliptic curve 1599c1

-4	8	-3	5	-7	13	41
25584z1	102336y1	4797d1	39975o1	78351o1	20787d1	65559f1

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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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