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	4.2517464E+19	Discriminant
Eigenvalues	2- 3+ 5+ -4 11- -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-878016,-42806784]	[a1,a2,a3,a4,a6]
Generators	[3063998:-287968750:343]	Generators of the group modulo torsion
j	10316097499609/5859375000	j-invariant
L	2.5320675288512	L(r)(E,1)/r!
Ω	0.1684417377665	Real period
R	7.5161523575626	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	3630w7 116160jn8 87120gk8 240b7	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 29040ch8

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 29040ch8

-4	8	-3	-11
3630w7	116160jn8	87120gk8	240b7

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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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