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	29400er	Isogeny class
Conductor	29400	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	516096	Modular degree for the optimal curve
Δ	-354508257525030000 = -1 · 24 · 316 · 54 · 77	Discriminant
Eigenvalues	2- 3- 5- 7-  5 -2 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1656608,820635213]	[a1,a2,a3,a4,a6]
Generators	[982:11907:1]	Generators of the group modulo torsion
j	-427361108435200/301327047	j-invariant
L	6.9045269456278	L(r)(E,1)/r!
Ω	0.30000416889193	Real period
R	0.35960578122597	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	58800ci1 88200eg1 29400s1 4200v1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400er1

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
-	-	-	-	5	-2	-4	-6	-1	1	-2	5	0	-7	2	-6	6	0	3	9	12	3	-6	-6	10

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Quadratic twists for elliptic curve 29400er1

-4	-3	5	-7
58800ci1	88200eg1	29400s1	4200v1

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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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