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	29400cr	Isogeny class
Conductor	29400	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	16810159716000000 = 28 · 36 · 56 · 78	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-309108,-65749788]	[a1,a2,a3,a4,a6]
Generators	[912:20250:1]	Generators of the group modulo torsion
j	6940769488/35721	j-invariant
L	4.8493980806247	L(r)(E,1)/r!
Ω	0.20253795580733	Real period
R	2.9928946288701	Regulator
r	1	Rank of the group of rational points
S	0.99999999999999	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	58800cw2 88200ca2 1176e2 4200x2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400cr2

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

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Quadratic twists for elliptic curve 29400cr2

-4	-3	5	-7
58800cw2	88200ca2	1176e2	4200x2

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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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