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	29400bu	Isogeny class
Conductor	29400	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	221184	Modular degree for the optimal curve
Δ	3474322031250000 = 24 · 33 · 510 · 77	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4 -6 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-87383,9500238]	[a1,a2,a3,a4,a6]
Generators	[-47:3675:1]	Generators of the group modulo torsion
j	2508888064/118125	j-invariant
L	5.9992623480426	L(r)(E,1)/r!
Ω	0.44001411399763	Real period
R	1.1361874837639	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	58800be1 88200gw1 5880z1 4200e1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400bu1

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	-2	8	-4	6	-4	2	2	12	0	-2	4	-6	4	8	6	-16	-4	18	6

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Quadratic twists for elliptic curve 29400bu1

-4	-3	5	-7
58800be1	88200gw1	5880z1	4200e1

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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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