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	29400bt	Isogeny class
Conductor	29400	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-4411837500000000000 = -1 · 211 · 3 · 514 · 76	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-98408,101720688]	[a1,a2,a3,a4,a6]
Generators	[-66306:2193191:216]	Generators of the group modulo torsion
j	-27995042/1171875	j-invariant
L	6.7963282256727	L(r)(E,1)/r!
Ω	0.20392642446059	Real period
R	8.3318386075395	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	58800bd5 88200gv5 5880u6 600a6	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400bt5

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

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Quadratic twists for elliptic curve 29400bt5

-4	-3	5	-7
58800bd5	88200gv5	5880u6	600a6

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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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