Cremona's table of elliptic curves

81796 = 2² · 11² · 13²

Field	Data	Notes
Atkin-Lehner	2- 11- 13+	Signs for the Atkin-Lehner involutions
Class	81796r	Isogeny class
Conductor	81796	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	214200	Modular degree for the optimal curve
Δ	809560859536 = 24 · 116 · 134	Discriminant
Eigenvalues	2-  3  2 -1 11- 13+ -3  3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-20449,-1124695]	[a1,a2,a3,a4,a6]
Generators	[-2184:325:27]	Generators of the group modulo torsion
j	1168128	j-invariant
L	13.976842438537	L(r)(E,1)/r!
Ω	0.39925820989811	Real period
R	3.8896695286015	Regulator
r	1	Rank of the group of rational points
S	1.0000000000554	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	676d1 81796s1	Quadratic twists by: -11 13

Hecke Eigenvalues for elliptic curve 81796r1

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
-	3	2	-1	-	+	-3	3	-1	1	-8	3	-3	-1	4	-6	5	5	7	-11	-14	4	-12	-9	-1

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Quadratic twists for elliptic curve 81796r1

-11	13
676d1	81796s1

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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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