Cremona's table of elliptic curves

726 = 2 · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11-	Signs for the Atkin-Lehner involutions
Class	726b	Isogeny class
Conductor	726	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5280	Modular degree for the optimal curve
Δ	-2151353746105344 = -1 · 210 · 34 · 1110	Discriminant
Eigenvalues	2+ 3+ -1  4 11- -3  1  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,21657,-1855179]	[a1,a2,a3,a4,a6]
j	43307231/82944	j-invariant
L	0.96833477756104	L(r)(E,1)/r!
Ω	0.24208369439026	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	5808bd1 23232bu1 2178i1 18150db1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 726b1

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	4	-	-3	1	8	-8	9	0	3	-3	8	12	11	0	2	4	0	6	4	-16	7	-5

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Quadratic twists for elliptic curve 726b1

-4	8	-3	5	-7	-11	13
5808bd1	23232bu1	2178i1	18150db1	35574bc1	726g1	122694ch1

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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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