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	29400cj	Isogeny class
Conductor	29400	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	235200	Modular degree for the optimal curve
Δ	-44827092576000000 = -1 · 211 · 35 · 56 · 78	Discriminant
Eigenvalues	2- 3+ 5+ 7+  3 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,48592,-9331188]	[a1,a2,a3,a4,a6]
j	68782/243	j-invariant
L	0.54941508575314	L(r)(E,1)/r!
Ω	0.18313836191781	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	58800cl1 88200bj1 1176d1 29400ee1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400cj1

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
-	+	+	+	3	-4	0	-4	-8	-3	-5	-8	8	-6	-10	-9	-5	-10	-6	10	-2	11	-7	-18	17

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Quadratic twists for elliptic curve 29400cj1

-4	-3	5	-7
58800cl1	88200bj1	1176d1	29400ee1

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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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