Cremona's table of elliptic curves

2793 = 3 · 7² · 19

Field	Data	Notes
Atkin-Lehner	3- 7- 19-	Signs for the Atkin-Lehner involutions
Class	2793j	Isogeny class
Conductor	2793	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	860205290447223 = 310 · 79 · 192	Discriminant
Eigenvalues	1 3-  0 7- -2  4  4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-94351,-11073121]	[a1,a2,a3,a4,a6]
j	789529529265625/7311624327	j-invariant
L	2.7255629661102	L(r)(E,1)/r!
Ω	0.27255629661102	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	44688bv2 8379m2 69825t2 399a2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2793j2

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

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Quadratic twists for elliptic curve 2793j2

-4	-3	5	-7	-19
44688bv2	8379m2	69825t2	399a2	53067h2

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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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