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	29400bo	Isogeny class
Conductor	29400	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	6048	Modular degree for the optimal curve
Δ	-8467200 = -1 · 28 · 33 · 52 · 72	Discriminant
Eigenvalues	2+ 3- 5+ 7-  2  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,47,83]	[a1,a2,a3,a4,a6]
Generators	[-1:6:1]	Generators of the group modulo torsion
j	35840/27	j-invariant
L	7.3208789597405	L(r)(E,1)/r!
Ω	1.486264828398	Real period
R	0.41047411940888	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	58800z1 88200gq1 29400dk1 29400a1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400bo1

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	-2	-4	-4	0	5	-7	-10	9	-6	-14	10	-15	4	2	9	-1	-10	6	-3

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Quadratic twists for elliptic curve 29400bo1

-4	-3	5	-7
58800z1	88200gq1	29400dk1	29400a1

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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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