Cremona's table of elliptic curves

79 = Prime conductor

Field	Data	Notes
Atkin-Lehner	79+	Signs for the Atkin-Lehner involutions
Class	79a	Isogeny class
Conductor	79	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	2	Modular degree for the optimal curve
Δ	79 = Prime discriminant	Discriminant
Eigenvalues	-1 -1 -3 -1 -2  3 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2,0]	[a1,a2,a3,a4,a6]
Generators	[0:0:1]	Generators of the group modulo torsion
j	912673/79	j-invariant
L	0.58118021594897	L(r)(E,1)/r!
Ω	5.9508003526079	Real period
R	0.097664210108187	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	1264h1 5056d1 711c1 1975b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 79a1

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
-1	-1	-3	-1	-2	3	-6	4	2	-6	-10	-2	-10	4	7	8	-3	-4	8	15	2	+	-6	-7	-19

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Quadratic twists for elliptic curve 79a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	-79
1264h1	5056d1	711c1	1975b1	3871a1	9559b1	13351a1	22831b1	28519a1	41791b1	66439a1	75919a1	108151a1	6241c1

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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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