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	128	Product of Tamagawa factors cp
Δ	952956900000000 = 28 · 34 · 58 · 76	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-24908,-297312]	[a1,a2,a3,a4,a6]
Generators	[-137:750:1]	Generators of the group modulo torsion
j	3631696/2025	j-invariant
L	6.7963282256727	L(r)(E,1)/r!
Ω	0.40785284892117	Real period
R	2.0829596518849	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	58800bd2 88200gv2 5880u2 600a2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400bt2

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 29400bt2

-4	-3	5	-7
58800bd2	88200gv2	5880u2	600a2

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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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