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	29040bp	Isogeny class
Conductor	29040	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	-81827410515840000 = -1 · 210 · 38 · 54 · 117	Discriminant
Eigenvalues	2+ 3- 5-  4 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-53280,-14571900]	[a1,a2,a3,a4,a6]
j	-9220796644/45106875	j-invariant
L	4.5439525102351	L(r)(E,1)/r!
Ω	0.14199851594486	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14520n4 116160fv3 87120bi3 2640l4	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 29040bp3

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

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Quadratic twists for elliptic curve 29040bp3

-4	8	-3	-11
14520n4	116160fv3	87120bi3	2640l4

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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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