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	29400cp	Isogeny class
Conductor	29400	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	147456	Modular degree for the optimal curve
Δ	-5296410918750000 = -1 · 24 · 3 · 58 · 710	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,10617,3472512]	[a1,a2,a3,a4,a6]
Generators	[97:2325:1]	Generators of the group modulo torsion
j	4499456/180075	j-invariant
L	4.7374135388875	L(r)(E,1)/r!
Ω	0.32527442595255	Real period
R	3.641089769826	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	58800ct1 88200bw1 5880l1 4200w1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400cp1

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
-	+	+	-	0	-2	6	4	-4	6	0	-6	-6	4	8	-14	4	2	-12	-12	10	8	-4	-6	-14

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Quadratic twists for elliptic curve 29400cp1

-4	-3	5	-7
58800ct1	88200bw1	5880l1	4200w1

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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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