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	1479a	Isogeny class
Conductor	1479	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	-3474171 = -1 · 35 · 17 · 292	Discriminant
Eigenvalues	-2 3+  1  0 -3  3 17+  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,20,-90]	[a1,a2,a3,a4,a6]
Generators	[6:14:1]	Generators of the group modulo torsion
j	841232384/3474171	j-invariant
L	1.3355252138641	L(r)(E,1)/r!
Ω	1.2674514015642	Real period
R	0.52685460452996	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	23664o1 94656u1 4437k1 36975bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1479a1

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	0	-3	3	+	1	-5	+	6	-8	-3	11	6	-12	0	12	-4	0	4	12	-4	-14	12

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Quadratic twists for elliptic curve 1479a1

-4	8	-3	5	-7	17	29
23664o1	94656u1	4437k1	36975bc1	72471r1	25143q1	42891n1

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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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