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	29040bz	Isogeny class
Conductor	29040	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	342144	Modular degree for the optimal curve
Δ	-432048727523635200 = -1 · 212 · 39 · 52 · 118	Discriminant
Eigenvalues	2- 3+ 5+  1 11-  2  6  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-99381,33878781]	[a1,a2,a3,a4,a6]
Generators	[28764:3994055:729]	Generators of the group modulo torsion
j	-123633664/492075	j-invariant
L	5.0927424921851	L(r)(E,1)/r!
Ω	0.25987429896629	Real period
R	9.7984727855784	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1815e1 116160iv1 87120fp1 29040cc1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 29040bz1

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	-	2	6	7	6	0	1	-7	-6	-8	0	-6	12	-1	7	-6	-13	-11	0	-18	-1

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Quadratic twists for elliptic curve 29040bz1

-4	8	-3	-11
1815e1	116160iv1	87120fp1	29040cc1

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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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