Cremona's table of elliptic curves

2479 = 37 · 67

Field	Data	Notes
Atkin-Lehner	37- 67+	Signs for the Atkin-Lehner involutions
Class	2479a	Isogeny class
Conductor	2479	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	608	Modular degree for the optimal curve
Δ	166093 = 37 · 672	Discriminant
Eigenvalues	2 -1  4  5 -3  0  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-16,-11]	[a1,a2,a3,a4,a6]
j	481890304/166093	j-invariant
L	4.8830991059317	L(r)(E,1)/r!
Ω	2.4415495529658	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	39664i1 22311a1 61975c1 121471c1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2479a1

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

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Quadratic twists for elliptic curve 2479a1

-4	-3	5	-7	37
39664i1	22311a1	61975c1	121471c1	91723a1

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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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