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	29040cj	Isogeny class
Conductor	29040	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	529912627200 = 216 · 35 · 52 · 113	Discriminant
Eigenvalues	2- 3+ 5-  2 11+  0 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-22040,-1251600]	[a1,a2,a3,a4,a6]
Generators	[172:128:1]	Generators of the group modulo torsion
j	217190179331/97200	j-invariant
L	5.4404112585463	L(r)(E,1)/r!
Ω	0.3918381163831	Real period
R	3.4710834851676	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3630j1 116160hh1 87120dr1 29040cl1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 29040cj1

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
-	+	-	2	+	0	-2	2	0	-6	0	-6	6	2	4	2	8	0	-4	-12	-16	-2	8	-6	10

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Quadratic twists for elliptic curve 29040cj1

-4	8	-3	-11
3630j1	116160hh1	87120dr1	29040cl1

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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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