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	29040ch	Isogeny class
Conductor	29040	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	244900592640000 = 213 · 33 · 54 · 116	Discriminant
Eigenvalues	2- 3+ 5+ -4 11- -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-558576,160868160]	[a1,a2,a3,a4,a6]
Generators	[458:950:1]	Generators of the group modulo torsion
j	2656166199049/33750	j-invariant
L	2.5320675288512	L(r)(E,1)/r!
Ω	0.5053252132995	Real period
R	2.5053841191875	Regulator
r	1	Rank of the group of rational points
S	0.99999999999998	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3630w4 116160jn5 87120gk5 240b4	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 29040ch5

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
-	+	+	-4	-	-2	-6	-4	0	6	-8	2	6	-4	0	-6	0	10	4	0	-2	8	12	18	2

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Quadratic twists for elliptic curve 29040ch5

-4	8	-3	-11
3630w4	116160jn5	87120gk5	240b4

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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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