Cremona's table of elliptic curves

1479 = 3 · 17 · 29

Field	Data	Notes
Atkin-Lehner	3+ 17- 29-	Signs for the Atkin-Lehner involutions
Class	1479c	Isogeny class
Conductor	1479	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	160	Modular degree for the optimal curve
Δ	-42891 = -1 · 3 · 17 · 292	Discriminant
Eigenvalues	0 3+ -3  2 -3  7 17- -3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-17,35]	[a1,a2,a3,a4,a6]
Generators	[7:14:1]	Generators of the group modulo torsion
j	-575930368/42891	j-invariant
L	1.8039163549793	L(r)(E,1)/r!
Ω	3.5441541248193	Real period
R	0.25449180417222	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	23664r1 94656z1 4437d1 36975x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1479c1

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

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Quadratic twists for elliptic curve 1479c1

-4	8	-3	5	-7	17	29
23664r1	94656z1	4437d1	36975x1	72471o1	25143m1	42891k1

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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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