Cremona's table of elliptic curves

29040 = 2⁴ · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	29040ba	Isogeny class
Conductor	29040	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-5368696403944262400 = -1 · 28 · 316 · 52 · 117	Discriminant
Eigenvalues	2+ 3- 5+ -2 11-  4  4  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1316036,-592133940]	[a1,a2,a3,a4,a6]
Generators	[2542:111780:1]	Generators of the group modulo torsion
j	-555816294307024/11837848275	j-invariant
L	6.304089011158	L(r)(E,1)/r!
Ω	0.070389024013417	Real period
R	2.7987713192491	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	14520c2 116160gt2 87120ci2 2640h2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 29040ba2

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
+	-	+	-2	-	4	4	8	-4	-2	-8	-2	2	-6	-12	6	12	-10	-16	0	-4	12	-6	6	14

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Quadratic twists for elliptic curve 29040ba2

-4	8	-3	-11
14520c2	116160gt2	87120ci2	2640h2

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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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