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	29400cx	Isogeny class
Conductor	29400	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	221184	Modular degree for the optimal curve
Δ	444713220000000 = 28 · 33 · 57 · 77	Discriminant
Eigenvalues	2- 3+ 5+ 7-  4 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-387508,92971012]	[a1,a2,a3,a4,a6]
Generators	[-618:9800:1]	Generators of the group modulo torsion
j	13674725584/945	j-invariant
L	4.5361532513977	L(r)(E,1)/r!
Ω	0.50212068086025	Real period
R	2.2584975207684	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	58800dn1 88200cv1 5880p1 4200ba1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400cx1

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

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Quadratic twists for elliptic curve 29400cx1

-4	-3	5	-7
58800dn1	88200cv1	5880p1	4200ba1

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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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