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	29040x	Isogeny class
Conductor	29040	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	50688	Modular degree for the optimal curve
Δ	565907445840 = 24 · 3 · 5 · 119	Discriminant
Eigenvalues	2+ 3- 5+ -4 11+  2  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-6211,182840]	[a1,a2,a3,a4,a6]
j	702464/15	j-invariant
L	1.8405546965642	L(r)(E,1)/r!
Ω	0.9202773482828	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14520b1 116160gi1 87120bx1 29040w1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 29040x1

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	4	-2	8	-6	0	-2	-2	-8	0	-6	12	8	8	12	-6	-2	6	-14	-18

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Quadratic twists for elliptic curve 29040x1

-4	8	-3	-11
14520b1	116160gi1	87120bx1	29040w1

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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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