Cremona's table of elliptic curves

793 = 13 · 61

Field	Data	Notes
Atkin-Lehner	13+ 61+	Signs for the Atkin-Lehner involutions
Class	793a	Isogeny class
Conductor	793	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	793 = 13 · 61	Discriminant
Eigenvalues	1  0  2 -4  4 13+ -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-16,-21]	[a1,a2,a3,a4,a6]
Generators	[246:497:27]	Generators of the group modulo torsion
j	469097433/793	j-invariant
L	2.7443839415995	L(r)(E,1)/r!
Ω	2.3803932304425	Real period
R	4.6116480361345	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12688a1 50752f1 7137e1 19825d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 793a1

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	0	2	-4	4	+	-6	-2	-6	10	-4	-10	2	-2	-2	10	-4	+	-8	12	-6	-2	10	10	-14

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Quadratic twists for elliptic curve 793a1

-4	8	-3	5	-7	-11	13	61
12688a1	50752f1	7137e1	19825d1	38857d1	95953c1	10309c1	48373c1

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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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