Cremona's table of elliptic curves

29400 = 2³ · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	29400ct	Isogeny class
Conductor	29400	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	645120	Modular degree for the optimal curve
Δ	784474120080000000 = 210 · 35 · 57 · 79	Discriminant
Eigenvalues	2- 3+ 5+ 7- -2 -6  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3450008,2467266012]	[a1,a2,a3,a4,a6]
Generators	[1057:650:1]	Generators of the group modulo torsion
j	7033666972/1215	j-invariant
L	3.9659396545577	L(r)(E,1)/r!
Ω	0.27453347715933	Real period
R	3.6115264480623	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	58800dc1 88200ci1 5880n1 29400ec1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400ct1

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

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Quadratic twists for elliptic curve 29400ct1

-4	-3	5	-7
58800dc1	88200ci1	5880n1	29400ec1

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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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