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	29400bs	Isogeny class
Conductor	29400	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-2657704554540000000 = -1 · 28 · 318 · 57 · 73	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4 -2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1143508,476769488]	[a1,a2,a3,a4,a6]
Generators	[464:6804:1]	Generators of the group modulo torsion
j	-120527903507632/1937102445	j-invariant
L	6.8751535166038	L(r)(E,1)/r!
Ω	0.25651841444702	Real period
R	0.74449425778658	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	58800bg2 88200hc2 5880y2 29400m2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400bs2

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

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Quadratic twists for elliptic curve 29400bs2

-4	-3	5	-7
58800bg2	88200hc2	5880y2	29400m2

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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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